Using this online calculator, you can find the area of a rectangle.
By using an online calculator to calculate the area of a rectangle, you will receive a detailed step-by-step solution to your example, which will allow you to understand the algorithm for solving such problems and consolidate the material you have covered.
Entering data into a calculator to calculate the area of a rectangle
You can enter numbers or fractions into the online calculator. Read more in the rules for entering numbers.
N.B. In the online calculator you can use values in the same units of measurement!
If you have difficulty converting units of measurement, use the distance and length unit converter and the area unit converter.
Additional features of the rectangle area calculator
- You can move between input fields by pressing the "right" and "left" keys on the keyboard.
where S is the area of the rectangle,
a is the length of the first side,
b is the length of the second side.
You can enter numbers or fractions (-2.4, 5/7, .). Read more in the rules for entering numbers.
Any obscene comments will be deleted and their authors will be blacklisted!
Copying materials is prohibited.
Welcome to OnlineMSchool.
My name is Dovzhik Mikhail Viktorovich. I am the owner and author of this site, I wrote all the theoretical material, and also developed online exercises and calculators that you can use to study mathematics.
Area of an irregular quadrilateral with given sides
Calculates the area of an irregular quadrilateral with known side lengths
With enviable persistence, some Planetcalc users leave requests to create a calculator to calculate the area of an irregular quadrilateral for which only the lengths of the sides are known.
Area of a plot of complex shape
I thought that the only way to stop them was to write a joke calculator like this. (Press the “Stop” button to determine the area of the quadrilateral you like with the sides you specified).
Side length A
Side length B
Side length C
Side length D
The area of an irregular quadrilateral cannot be calculated by knowing only the lengths of the sides. I hope this demo helps anyone who has asked for a calculator for this to understand this.
Why do you need to know the floor area?
Determining the area of a rectangular room
Calculation of the area of a room with an incorrect layout
Finding the area of a triangular room
How to calculate the area of the walls of a room
Proportions between floor and window area
It is impossible to carry out repairs to the floor surface without knowing the exact floor area in a private household or apartment. The fact is that today the cost of building materials is quite high, and every property owner tries to save as much as possible on their purchase. Therefore, information on how to calculate the floor area will not be superfluous for those who prefer to do the repairs themselves.
Why do you need to know the floor area?
Before starting work, you should decide on the scope of activities, plan costs and calculate the amount of building materials. For this you will need initial data. For this reason, it is important to know how to calculate floor area accurately. This is especially true for uneven surfaces and rooms with non-standard layouts.
There are other reasons when there is a need to accurately determine the dimensions of the floor surface:
- checking the quality of construction work;
- the need for redevelopment of the premises.
Determining the area of a rectangular room
Before calculating the floor area, you should stock up on a calculator and a measuring tape. Most often there are rooms in the shape of a rectangle. To calculate their area, they use a formula known to everyone from school: S = a x b, where a and b are the length and width. For example, a room has parameters of 3 and 4 meters, then the required value will be 12 square meters. m.
If the room has a fireplace or built-in furniture, then you need to find out their area and subtract it from the total area. In the event of a major overhaul of the floor, everything unnecessary in the room will have to be dismantled.
Calculation of the area of a room with an incorrect layout
It is much more difficult to calculate the area of a room that has a polygonal shape. Often in brick houses the layout contains niches, triangular recesses and rounded elements, as in the photo.
In this case, before calculating the square footage of the floor, the layout of the room must be divided into separate zones. For example, if a room has an L-shaped layout, it should be divided into 2 rectangles, then calculate the area of each of them and add up the results.
Finding the area of a triangular room
When the other part of the room is not perpendicular to the main area, this means that between the two rectangles there is also a triangle with a right angle.
In this case, the area of the triangle is calculated using the formula: S = (a x b): 2 and added to the total. For example, a = 2, b = 3, then S = (2x3): 2 =3 m².
Another way to define the area is:
- First calculate the square of the rectangle.
- Determine the area of the beveled triangular corner.
- The area of the triangle is subtracted from the quadrature of the rectangle.
In the case when the triangle does not have a right angle, then use Heron’s formula S = √p(p - a)(p - b)(p - c).
For example, its sides are 5, 6 and 7 meters, then the calculations are made as follows:
- Find out the semi-perimeter of the triangle p = (5+6+7):2 = 9.
- Numerical values are substituted into Heron’s formula and the result is obtained: √(9 x (9-7) x (9-6) x (9-5) = 14.7 m².
Quadrature of rounded rooms
Often a similar shape is present at windows in old houses or on balconies that are combined with rooms. First, calculate 1/2 of the protruding part of the circle and add it to the area of the rectangle using the formula S = πR²:2, in which:
R² is the radius of a circle squared.
For example, the room has a protruding semicircular balcony with a radius of 1.5 meters. Substituting this number into the formula, we get the result: S = 3.14x(1.5)²: 2 = 3.5 m². Read also: “How to calculate square meters of floor for different room shapes.”
How to calculate the area of the walls of a room
The procedure for calculating the area of the walls and floor is different. The fact is that before calculating the square footage of the floor, you should find out the length and width of the room, and to calculate the walls you will need to measure its height. Therefore, first find out the perimeter of the room and multiply it by the height of the ceilings.
For example, the floor parameters are 3 and 4 meters, and the height of the room is 3 meters. In this case, the perimeter of the walls will be equal to (3 + 4) x2 = 14 m, and their area S = 14x3 = 42 m².
At the same time, one should not forget about the squaring of window and door openings. Their area is subtracted after completing the wall calculations. But on the other hand, they can be ignored and thereby provide a certain supply of materials.
Proportions between floor and window area
According to SNiP 01/31/2003, the parameters of windows and their number should depend on the square footage of the floor. So for residential multi-apartment buildings, the ratio between the areas of window openings and the floor surface will range from 1:5.5 to 1:8. As for the upper floors, a minimum proportion of 1:10 is allowed there.
For private households, this norm is regulated by SNiP 02/31/2001.
How to calculate the area of a rectangle with different sides
According to this documentation, for every 8 “squares” of floor surface there must be at least one “square” source of natural light flux. On attic floors this proportion cannot be less than 1:10.
To ensure high-quality repairs, you need to figure out in advance how to calculate the floor area and other necessary dimensions of the room. The preparatory stage also involves the purchase of building materials, and then during the repair process, costs will be kept to a minimum, since there will be no large leftovers and the cost of delivery will be inexpensive.
The manual method of calculating how to find out the floor area will take more time than when carrying out calculations on an existing construction calculator, but it allows you to find out more accurate results.
How to calculate the area of a rectangle
Area formulas
Area of a geometric figure- part of the surface limited by the closed contour of a given figure. The size of the area is expressed by the number of square units contained in it.
Triangle area formulas
1st formula
S- area of a triangle
a, b- the lengths of 2 sides of the triangle
WITH- angle between sides a and b
2nd formula
S- area of a triangle
a- length of the side of the triangle
h- length of height lowered to side a
3rd formula
S- area of a triangle
a, b, c
p- semiperimeter of a triangle
4th formula
S- area of a triangle
r— radius of the inscribed circle
p- semiperimeter of a triangle
5th formula
S- area of a triangle
a, b, c- lengths of 3 sides of the triangle
R— radius of the circumscribed circle
See also: Program for calculating the area of a triangle.
Square area formulas:
1) The area of a square is equal to the square of the length of its side (a).
2) The area of a square is equal to half the square of the length of its diagonal (d).
S- area of the square
a- length of the side of the square
d- length of the diagonal of the square
See also: Program for calculating the area of a square.
Formula for area of a rectangle:
1) The area of a rectangle is equal to the product of the lengths of its two adjacent sides (a, b).
S- area of the rectangle
a- length of the 1st side of the rectangle
b- length of the 2nd side of the rectangle
See also: Program for calculating the area of a rectangle.
Parallelogram area formula:
1) The area of a parallelogram is equal to the product of the length of its base and the length of its height (a, h).
S- area of the parallelogram
a- base length
h- height length
See also: Program for calculating the area of a parallelogram.
Trapezoid area formula:
1) The area of a trapezoid is equal to the product of half the sum of its bases and the height (a, b, h).
S- area of the trapezoid
a- length of the 1st base
b- length of the 2nd base
h- length of trapezoid height
Calculator for calculating the area of an irregularly shaped land plot with different sides
See also: Program for calculating the area of a trapezoid.
Formulas for the area of a rhombus:
1) The area of a rhombus is equal to the product of the length of its side and the height (a, h).
2) The area of a rhombus is equal to half the product of its diagonals.
S- area of a rhombus
a- length of the base of the rhombus
h- length of the height of the rhombus
d1— length of the 1st diagonal
d2— length of the 2nd diagonal
See also: Program for calculating the area of a rhombus.
Formula for area of a circle:
1) The area of a circle is equal to the product of the square of the radius and the number pi (3.1415).
2) The area of a circle is equal to half the product of the length of the circle enclosing it and the radius.
S- area of a circle
π — pi number (3.1415)
r— circle radius
See also: Program for calculating the area of a circle.
Ellipse area formula:
1) The area of the ellipse is equal to the product of the lengths of the major and minor semi-axes of the ellipse by the number pi (3.1415).
S- area of the ellipse
π — pi number (3.1415)
a— length of the semi-major axis
b— minor axis length
See also: Program for calculating the area of an ellipse.
Online calculator. Area of a rectangle
Briefly about the main thing Entry level
Area of figures on checkered paper. First level.
Algorithm for finding the area of figures on checkered paper:
- From the area of the rectangle, subtract the sum of the areas of all the extra shapes.
How to find the area of figures on checkered paper:
Method 1: (convenient for standard shapes: triangle, trapezoid, etc.)
- By counting the cells and applying simple theorems, find those sides, heights, diagonals that are required to apply the area formula.
- Substitute the found values into the area equation.
Method 2: (very convenient for complex figures, but also not bad for simple ones)
- Complete the desired figure to a rectangle.
- Find the area of all the resulting additional figures and the area of the rectangle itself.
- From the area of the rectangle, subtract the sum of the areas of all the extra shapes.
Let's illustrate first way.
Suppose you need to find the area of such a trapezoid, built on a sheet of paper in a cage
We just count the cells and see that in our case, and. Substitute into the formula:
It seems even rectangular and, but what does it equal, and what does it equal? How to find out? Let's use both methods for complete clarity.
Method I
Substitute into the formula:
II method(I'll tell you a secret - this method is better).
We need to surround our figure with a rectangle. Like this:
The result is one (needed) triangle inside and three unnecessary triangles outside. But the areas of these unnecessary triangles are easily calculated on a checkered sheet of paper! So we will count them, and then simply subtract them from the whole rectangle.
Why is this method better? Because it works for the most cunning figures. Look, you need to calculate the area of this figure:
We surround it with a rectangle and again we get one necessary, but complex area and many unnecessary, but simple ones.
Now, to find the area, we simply find the area of the rectangle and subtract from it the remaining area of the figures on the checkered paper.
(note that the area is NOT a right triangle, but it is still easy to calculate using the basic formula).
Here is the answer: .
Well, how do you like this method? Try to use it always, and you can easily find the area of shapes on checkered paper!
If you decide to renovate an apartment or house, first of all you need to choose materials for finishing and understand how much of them you need. To do this, you need to correctly calculate the area of all surfaces in the apartment. Of course, you can resort to the help of professionals, but spend extra money. Or you can do this yourself. This article is devoted to how to calculate the area of a room of different shapes.
Read in the article
Why do you need to know the area of the room and what is needed for calculations?
In what cases is it necessary to calculate the area of a room?
- Of course, first of all, to determine the amount of consumables for repairs. Many people buy them in reserve and return the excess to the store. However, in this case, a lot of time is wasted, and not all stores provide such a service. Therefore, it is more advisable to correctly calculate the area of all surfaces before purchasing.
Take note:
- In addition, knowing the area, it is easier to plan your budget. After all, even the cost of the work of hired workers in most cases depends on how many square meters they have to process.
- The number of lighting fixtures also depends on the area. However, in most cases, complex calculations are not resorted to when choosing lamps; this issue is usually resolved experimentally.
- And one last thing. One of the main quantities in an apartment is the volume of the premises (in this case, the area must be multiplied by the height), because depending on it, climate control equipment is selected.
Important! Be sure to check the area when purchasing an apartment, especially if you bought it in a new building. After all, the size of utility bills and often the cost of the living space itself depends on it. For example, the developer (in the case of shared participation in construction) is obliged to reimburse the cost of the missing square meters.
Thus, there are a huge number of reasons why it is necessary to correctly calculate the area of the room. But where to start? First you need to prepare the room to be measured and the tools.
It is advisable to carry out measurements in a completely empty room. If this is not possible, at least clear the areas near the walls, because it is along them that measurements will be taken.
Important! If the room is rectangular, check that its shape is correct before starting measurements. To do this, compare opposite diagonals. If they are equal, you have a regular equilateral rectangle.
So, to determine the area of the room, the following devices are needed:
- Roulette. Of course, an electronic device is more convenient, but it has a large error. In addition, such a tape measure cannot measure complex shapes; problems may also arise when working with protruding elements. Therefore, the optimal set is a simple tape measure and a ruler. The main thing is to check their accuracy, since many old or children's devices have a significant error.
- Pencil.
- A piece of paper for calculations and recording results.
- Calculator.
Additionally, you may need a long ruler to check the walls are level.
How to calculate square meter?
In most cases, the area of any surface is calculated in square meters. So how to calculate a square meter?
First, if the room is rectangular, you need to measure its length and width. In this case, it is advisable to use a tape measure with marked divisions of centimeters and millimeters. If you only managed to find a ruler with feet, it doesn’t matter, they can easily be converted to square meters.
Next, the two obtained values in centimeters are converted into meters (it’s easier to do this right away) by dividing by 100. Next, the two values are multiplied, the resulting value is the area of the room in square meters. If you have feet, first multiply the resulting values, this will give you square feet. Then, to convert to m2, multiply the resulting value by 0.093 (if the measurements were taken in yards, multiply the result by 0.84). In this case, a calculator is an excellent solution for calculating square meters.
Interesting! There are many online square meter calculators on the Internet to calculate the area of a room. If you have a computer at hand, this method will be the fastest.
When the figure is received, round it to 2 decimal places; a more precise value will be unnecessary.
How to calculate the area of a room yourself?
A perfect rectangular room is a rarity. How to find out the area of a room with projections, niches or curved slopes? The simplest thing is to measure the lengths of all the walls, as well as the angles between them, and then draw a plan of your room on a piece of paper (the scale will most likely be 1:100, that is, one centimeter on paper will correspond to one meter in the room) . Then you need to divide the room into regular shapes (rectangles, triangles, circles, etc.), if possible, and using area calculation formulas, determine the square footage of each area.
Below are the most popular figures, descriptions of calculation methods for which will help answer the question: “How to calculate the area of a room yourself?”
How to find the area of a rectangle?
How to calculate the area of a rectangle yourself? A room with a regular rectangular shape is the simplest case. To calculate the area of a rectangle, simply multiply its length and width. However, this situation also has its own nuances:
- After measuring one of the sides, measure the second one strictly perpendicularly. Otherwise, measurements may result in significant errors.
- To avoid inaccuracies, measure both parallel walls, since often their lengths are slightly different, and for accuracy it is advisable to take their arithmetic average. That is, add their values and divide by 2.
- Don’t forget to subtract all kinds of protrusions from the resulting area (or add niches).
Interesting! There are many programs on the Internet for calculating the area of a rectangle; the online calculator is the simplest and most convenient of them.
Calculator for calculating the area of a quadrangular room
What is the easiest way to calculate floor area?
So, a situation has arisen when you want to find out what the square footage is in a particular room. And, of course, it’s not the walls that interest you, but only the floor. There may be many reasons for asking this parameter. For example, the house has just been completed, and you want to find out how accurately the builders fulfilled your wishes. Or, in the house register, only the usable, living area of a country estate is indicated, and outbuildings are not taken into account, but you urgently need their redevelopment. In general, no matter what reason you give, it will be valid. Therefore, we take up a measuring tape and a calculator.
Floor area calculator
Please indicate the dimensions.The standard option is a rectangular room, even a schoolchild knows how to calculate the floor area, since this formula is taught in geometry at the very beginning of studying this science. All you need to know is the length and width of the room, these values are multiplied, and the resulting result will correspond to the required quadrature of the room. That is, the formula will look like this: S = a. b, Where a And b- two sides of a rectangle, which in our case is the floor. Built-in wardrobes will not spoil the overall picture at all, especially if the quadrature is necessary for installing suspended ceilings, in which case the sections are simply not taken into account.
It’s another matter if, for example, there is a fireplace. Here the area of the room is calculated based on what it is needed for. If you assemble the same stretch ceiling, then you can forget about the fireplace, especially in the case when the pipe runs deep into the wall and is not attached to it. But if you plan to lay parquet or laminated boards, before calculating the floor area, you need to measure the fireplace and subtract the area it occupies from the square footage of the room. The same is true with a built-in wardrobe, which will only interfere when pouring screed or other work, so it is better to simply disassemble such a structure while finishing is being done.
Calculation of floor area in an irregularly shaped room
Houses and apartments with a standard layout usually consist of rooms with a rectangular or square outline, but in some buildings you can find rooms with niches and alcoves. In this case, the geometry of the floor becomes significantly more complicated, which creates certain problems when installing frames for suspended ceilings or laying patterned parquet floors. Judge for yourself - for the first time you enter a spacious hall, which at the end has a long and rather narrow appendage, and not even located at a right angle. Here it is no longer enough to simply multiply the lengths of two adjacent walls, especially since there are significantly more of them.
However, there is a way to calculate the floor area, although it requires the ability to mentally divide the space into separate fragments. That is, you need to take the apartment plan and find simpler ones in the complex geometric shape of the hall: squares, triangles. For example, if the shape of a room resembles the letter “G”, it means that two rectangles are connected in it, cut one off from the other and separately calculate the area for each, and sum up the calculation results.
If an appendage, an alcove, for example, is not located at a right angle to the main part of the room, it means that a triangle has been squeezed between two rectangles, the two sides of which converge at 90 degrees. Its area is calculated simply S = (a . b)/2, where a and b are the legs. If there is no right angle, another formula is needed: S = √(р. (р – а) . (р – b) . (р – с)), here a, b and c represent the sides of the figure, and p is the semi-perimeter and is calculated as follows: p = (a + b + c)/2.
It’s worse if part of the room has the outline of some part of a circle (or, if viewed in volume, a segment of a cylinder). Of course, it may well happen that the closed loggia, inseparable from the living room, has the shape of a regular semicircle. In this case, we calculate its area using the formula S = πR2/2 and sum it with the quadrature of the hall. The most difficult thing here is to find the center of the circle by inscribing it in a square; the intersection of the diagonals will give the desired point, from which we draw and measure the radius R.
Determining the area of a segment is more difficult; for this there is a formula F = (απ/180o – sin α)R2/2, where α is the angle between the radii R drawn from the ends of the chord limiting the segment. You can make it simpler by taking an entire sector of the circle (for which you need to find its center) and dividing it into a segment and some triangle. Further, Ssegm = Ssect − Streug, in turn Ssect = 0.5. p. R, here p is the length of the arc, and the area of the equilateral triangle enclosed between the radii R is not difficult to calculate: S = 0.5. a. ha, where a is the length of the base, ha is the height drawn to it. All these values can be obtained using a ruler.
Calculation of the area of a room with several levels
Do you think such rooms don’t exist? It’s completely in vain, a house built on a slope may well have ledges in its layout, for example, so a living room or kitchen can be divided into zones. However, it is not at all necessary to look at the floor, because the ceiling can also consist of several tiers in the most ordinary typical room. Let's say you need to buy paint to paint it. Of course, in general, the areas of the ceiling and floor are equal, but in places where there is a difference in heights, the vertical slopes also have some quadrature. And even taking into account a 10% reserve for purchased materials, they may not be enough. Therefore, we count.
If your levels have a simple shape, with rectangular elements, no difficulties will arise. It is enough to measure the height of the vertical sections with a ruler, find their length and use the formula S = a. b, determine the area with which the quadrature of the horizontal surfaces is summed. If the edge of the ledge overhangs a lower platform in the form of a cornice, summing the measurements of each tier is not enough, since it will turn out that the underside of the overhanging part is not taken into account. For laying parquet or tiling, these places will not play a special role, but when painting, “white spots” may remain. So in this situation, you should measure the hidden areas with a ruler.
It is better to take measurements with a tape measure or other device closer to the base, since the walls may have a slight curvature, which will give a certain error in the result.
It is most difficult to calculate the area of a room if there are ledges of a round or more complex shape. In this case, you need to accurately measure each arc along the edge, either in short sections, or all at once using a tape measure and using someone else's help. Then, having found the radii and divided the surfaces into separate geometric shapes, we use the above formulas and find the area of each ledge. As for the vertical sections, they were also mentioned above; there is no difference between the straight version and the curved one if the perimeter is known.
If you are planning to do the renovation yourself, then you will need to make an estimate for construction and finishing materials. To do this, you will need to calculate the area of the room in which you plan to carry out renovation work. The main assistant in this is a specially developed formula. The area of the room, namely its calculation, will allow you to save a lot of money on building materials and direct the freed-up financial resources in a more appropriate direction.
Geometric shape of the room
The formula for calculating the area of a room directly depends on its shape. The most typical for domestic buildings are rectangular and square rooms. However, during redevelopment, the standard form may be distorted. The rooms are:
- Rectangular.
- Square.
- Complex configuration (for example, round).
- With niches and projections.
Each of them has its own calculation features, but, as a rule, the same formula is used. The area of a room of any shape and size, one way or another, can be calculated.
Rectangular or square room
To calculate the area of a rectangular or square room, just remember your school geometry lessons. Therefore, it should not be difficult for you to determine the area of the room. The calculation formula looks like:
S rooms=A*B, where
A is the length of the room.
B is the width of the room.
To measure these values you will need a regular tape measure. To get the most accurate calculations, it is worth measuring the wall on both sides. If the values do not agree, take the average of the resulting data as a basis. But remember that any calculations have their own errors, so the material should be purchased with a reserve.
A room with a complex configuration
If your room does not fit the definition of “typical”, i.e. has the shape of a circle, triangle, polygon, then you may need a different formula for calculations. You can try to roughly divide the area of a room with this characteristic into rectangular elements and make calculations using the standard method. If you do not have this opportunity, then use the following methods:
- Formula for finding the area of a circle:
S room=π*R 2, where
R is the radius of the room.
- Formula for finding the area of a triangle:
S room = √ (P(P - A) x (P - B) x (P - C)), where
P is the semi-perimeter of the triangle.
A, B, C are the lengths of its sides.
Hence P=A+B+C/2
If you have any difficulties during the calculation process, then it is better not to torture yourself and turn to professionals.
Area of the room with projections and niches
Often the walls are decorated with decorative elements in the form of various niches or projections. Also, their presence may be due to the need to hide some unaesthetic elements of your room. The presence of ledges or niches on your wall means that the calculation should be carried out in stages. Those. First, the area of a flat section of the wall is found, and then the area of the niche or protrusion is added to it.
The area of the wall is found by the formula:
S walls = P x C, where
P - perimeter
C - height
You also need to consider the presence of windows and doors. Their area must be subtracted from the resulting value.
Room with multi-level ceiling
A multi-level ceiling does not complicate the calculations as much as it seems at first glance. If it has a simple design, then calculations can be made based on the principle of finding the area of walls complicated by niches and projections.
However, if your ceiling design has arched and wave-like elements, then it is more appropriate to determine its area using the floor area. To do this you need:
- Find the dimensions of all straight sections of walls.
- Find the floor area.
- Multiply the length and height of the vertical sections.
- Sum the resulting value with the floor area.
Step-by-step instructions for determining the general
room area
- Clear the room of unnecessary things. During the measurement process, you will need free access to all areas of your room, so you need to get rid of anything that might interfere with this.
- Visually divide the room into regular and irregular shaped areas. If your room has a strictly square or rectangular shape, then you can skip this step.
- Make a random layout of the room. This drawing is needed so that all the data is always at hand. Also, it will not give you the opportunity to get confused in numerous measurements.
- Measurements must be taken several times. This is an important rule to avoid errors in calculations. Also, if you use it, make sure that the beam lies flat on the wall surface.
- Find the total area of the room. The formula for the total area of a room is to find the sum of all areas of individual sections of the room. Those. S total = S walls+S floor+S ceiling
This online calculator helps to calculate, determine and calculate the area of a land plot online. The presented program can correctly suggest how to calculate the area of land plots of irregular shape.
Important! The important area should fit approximately into the circle. Otherwise, the calculations will not be entirely accurate.
We indicate all data in meters
A B, D A, C D, B C— The size of each side of the plot.
According to the entered data, our program performs online calculations and determines the area of land in square meters, acres, acres and hectares.
Method for determining the size of a plot manually
To correctly calculate the area of plots, you do not need to use complex tools. We take wooden pegs or metal rods and install them in the corners of our site. Next, using a measuring tape, determine the width and length of the plot. As a rule, it is enough to measure one width and one length, for rectangular or equilateral areas. For example, we have the following data: width – 20 meters and length – 40 meters.
Next we move on to calculating the area of the plot. If the shape of the area is correct, you can use the geometric formula for determining the area (S) of a rectangle. According to this formula, you need to multiply the width (20) by the length (40), that is, the product of the lengths of the two sides. In our case S=800 m².
After we have determined our area, we can determine the number of acres on the land plot. According to generally accepted data, one hundred square meters is 100 m². Next, using simple arithmetic, we will divide our parameter S by 100. The finished result will be equal to the size of the plot in acres. For our example, this result is 8. Thus, we find that the area of the plot is eight acres.
In the case where the land area is very large, it is best to carry out all measurements in other units - in hectares. According to generally accepted units of measurement - 1 Ha = 100 acres. For example, if our land plot, according to the measurements obtained, is 10,000 m², then in this case its area is equal to 1 hectare or 100 acres.
If your plot is of irregular shape, then the number of acres directly depends on the area. It is for this reason that, using an online calculator, you can correctly calculate the S parameter of the plot, and then divide the result by 100. Thus, you will receive calculations in hundred square meters. This method makes it possible to measure plots of complex shapes, which is very convenient.
Total information
Calculation of the area of land plots is based on classical calculations, which are performed according to generally accepted geodetic formulas.
There are several methods available for calculating the area of land - mechanical (calculated according to the plan using measuring palettes), graphic (determined by the project) and analytical (using the area formula based on measured boundary lines).
Today, the most accurate method is deservedly considered to be analytical. Using this method, errors in calculations usually appear due to errors in the terrain of the measured lines. This method is also quite complicated if the boundaries are curved or the number of angles on the plot is more than ten.
The graphical method is a little easier to calculate. It is best used when the boundaries of the site are presented in the form of a broken line, with a small number of turns.
And the most accessible and simple method, and the most popular, but at the same time the biggest error is the mechanical method. Using this method, you can easily and quickly calculate the area of land of simple or complex shape.
Among the serious disadvantages of the mechanical or graphical method, the following are distinguished: in addition to errors in measuring the area, during calculations an error is added due to the deformation of the paper or an error in drawing up plans.
Loading...
