How to calculate the area of ​​a square

How to calculate the area of ​​a square

On this page of the calculator will calculate the area of ​​a square online. For the calculation set the length of the side or diagonal.

Square - this is the right quadrilateral. It all sides and angles are equal. The square is a special form of a rectangle, and a private view of the diamond.

The formula for finding the area of ​​a square across the face:

The formula for finding the area of ​​the square through the diagonal:

Online calculator. The area of ​​the square

By using this online calculator, you will be able to find the area of ​​a square.

Using the online calculator to calculate the area of ​​the square, you will get a detailed step by step solution of your example, which will allow to understand the algorithm for solving such problems and to consolidate the material covered.

Entering data into the calculator to calculate the area of ​​the square

In an online calculator may be administered or the number of fractions 3, 0.4, 5/7. For details see regulations input numbers.

If you are having difficulties with the conversion unit, use the converter units of distance and the length and area of ​​the converter units.

The formulas for calculating the area of ​​the square

  • The area of ​​the square It is equal to the square of the length of its sides.

a - the length of the sides of the square,

d - the length of the diagonal of the square.

You can enter numbers or fractions (-2.4, 7.5,.). For details see regulations input numbers.

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My name is Michael V. Dovzhik. I am the owner and the author of this site, I have written all the theoretical material, and developed online exercises and calculators that you can use to study mathematics.

How to calculate the square the room, the walls, ceiling and floor

From time to time we need to know the area and volume of the room. These data may be needed in the design of heating and ventilation, the procurement of materials and even in many other situations. Also need to know the wall surface periodically. All these data are easy to calculate, but first have to work with a tape measure - measuring all the required dimensions. To learn how to calculate the area of ​​a room and the walls, the amount of space and will be discussed further.

Often it needs to calculate the cubic capacity of the room, its volume

Room area in square meters

Calculate simple, you only need to remember a simple formula as well as to carry out measurements. It will need:

  • Roulette. Better - with lock, but the fit and normal.
  • Paper and pencil or pen.
  • Calculator (or read in a column, or in the mind).

A set of simple tools, there is in every household. Simply measurements carried out with an assistant, but it is possible to cope on their own.

First you need to measure the length of the walls. Doing this, it is desirable along the walls, but if they are made to heavy furniture, it is possible to measure and in the middle. Only in this case to follow the roulette tape lying along the walls, rather than obliquely - the measurement error will be less.

If the room is the correct form, with no protruding parts, calculate the area of ​​the room is simple. Measuring the length and width, recording on paper. Write numbers in meters, centimeters after the comma. For example, 4.35 m length (430 cm), width of 3.25 m (325 cm).

How to calculate the area of ​​a room

Point numbers multiply, we get the area of ​​the room in square meters. If we turn to our example, we get the following: 4.35 m * 3.25 m = 14.1375 sq. m. In this magnitude usually leave two digits after the decimal point, then rounded. Total calculated by squaring the room 14.14 square meters.

If you need to calculate the area of ​​a room of irregular shape, it is divided into simple shapes - squares, rectangles, triangles. Then measure all the necessary dimensions, calculations on known formulas (there is little in the table below).

Before you calculate the area of ​​a room, is also making changes. Only in this case, the numbers will not two, but four: Add more length and width of the protrusion. Dimensions of both pieces are considered separately.

One example - in the photo. So like that, and another - a rectangle, the area is considered to be on the same formula: multiply the length by the width. Figure should be found to take away or add to the size of the room - depending on the configuration.

The area of ​​the complex shape of the room

We show in this example how to calculate a projection area of ​​the room (shown pictured above):

  1. We believe without quadrature protrusion: 3.6 m * 8.5 m = 30.6 sq. m.
  2. We consider the size of the protruding portion: 3.25 m * 0.8 m = 2.6 sq. m.
  3. Add together two quantities: 30.6 sq. m. + 2.6 kb. m. = 33.2 sq. m.

Still there are rooms with sloping walls. In this case, we break it so as to obtain rectangles and triangles (as shown below). As you can see, in this case it is required to have five sizes. Break could be in another way, by placing a vertical rather than a horizontal line. It does not matter. Just requires a set of simple shapes, and the way to separate them is arbitrary.

How to calculate the irregular-shaped area of ​​the room

In this case, the order of evaluation is:

  1. We consider a large rectangular portion: 6.4 m * 1.4 m = 8.96 sq. m. If the round, we get 9, 0 sq.m.
  2. We calculate the small rectangle: 2.7 m * 1.9 m = 5.13 sq. m. Rounding it, we get 5.1 square meters. m.
  3. We consider the triangle area. Since it is a right angle, that is equal to half the area of ​​a rectangle with the same dimensions. (1.3 m * 1.9 m) / 2 = 1,235 sq. m. After rounding obtain 1.2 kb. m.
  4. Now all add up to find the total area of ​​the room: 9.0 + 5.1 + 1.2 = 15.3 sq. m.

Layout of the premises can be very varied, but the general principle you understood: divide by simple shapes, measure all the required dimensions, calculate the quadrature of each piece, then all add up.

The formula for calculating the area and perimeter of simple geometric shapes

One important note: area of ​​the room, the floor and ceiling - it's all the same size. Differences can be if there is some kind of semi-columns, not reaching to the ceiling. Then, out of the total of squaring squaring the subtracted these elements. The result is a floor area.

How to calculate the square the walls

Determination of the area of ​​the walls is often required in the purchase of finishing materials - wallpaper, plaster, etc. For this calculation, additional measurements are necessary. To the already existing width and length of the room will be needed:

  • ceiling height;
  • the height and width of doorways;
  • width and height of window openings.

All measurements - meters, as squaring the walls, too, usually measured in square meters.

The preferred size applied to the plan

Since the walls are rectangular, and the area is considered as a rectangle: multiply the length by the width. In the same way we calculate the size of windows and doorways, their dimensions subtract. For example, calculate the area of ​​the walls depicted in the diagram above.

  1. Wall with door:
    • 2.5 m * 5.6 m = 14 sq. m. - the total area of ​​the long wall
    • how long it takes the doorway: 2.1 m * 0.9 m = 1.89 sq.m.
    • Wall excluding doorway - 14 m - 1.89 sq. = 12.11 sq m. m
  2. Wall with window:
    1. squaring small wall: 2.5 m * 3.2 m = 8 sq.m.
    2. how long it takes the window: 1.3 m * 1.42 m = 1,846 sq. m, rounded obtain 1.75 sq.m.
    3. without the wall of the window opening 8 sq. m - 1.75 m = 6.25 sq.m.

Find the total area of ​​the walls is not difficult. Fold all four digits: 14 sqm + 12.11 sqm + 8 sqm + 6.25 sqm = 40.36 sq. m.

The formula for calculating the volume of the room

For some calculations required room volume. In this case, the three values ​​are multiplied by width, length and height of the room. This value is measured in cubic meters (cubic meters), also called the cubic capacity. For example, using data from the previous paragraph:

If all multiply, we obtain: 5.6 m * 3.2 m * 2.5 m = 44.8 m 3. Thus, the volume of the room 44.8 cube.

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