You will need
• a calculator or computer
Instruction
1
To calculate the area of a squareif you know the length of its sides, lift the side of the square in the second degree (square). I.e. use the formula:PL = C2, or PL = C * C, where:PL - area of a square,
– The length of its side.The area of a square is measured in the corresponding side length of square units of area measurement. For example, if a side of a square is specified in mm, cm, inches, DM, m, km, miles, its area is obtained in mm2, cm2, inches, square, dm2, m2, km2, square miles, respectively.For example, suppose a square with side length 10 cm.
You want to determine its area.Solution:Construct a 10 in square. Gets to 100. Answer: 100 cm2.
2
To calculate the area of a square, if you specify its perimeter, erect perimeter to square and divide by 16. That is, use the following formula:PL = Пер2 / 16, or PL = (Pen/4)2 where:PL is the area of a square,
Per its perimeter.This formula follows from the previous, considering that all four sides of a square are of equal length.Suppose we have a square with a perimeter of 120 cm.
You want to determine its area.Solution.PL=(120/4)2=302=900. Answer: 900 cm2.
3
To calculate area of squareknowing the radius of the inscribed circle, multiply the square of the radius by 4. In the formula this pattern can be written in the following form:PL = 4р2, gder is the radius of the inscribed circle.This formula follows from the fact that the radius of the inscribed square of a circle is equal to half the length of side of square (because the diameter of this circle is equal to side of square).For example, suppose you have a square with a radius of the inscribed circle is equal to 2 cm.
It is required to calculate its area.Solution.PL=4*22=16. Answer: 16 cm2.
4
To calculate the area of a square, if you specify the radius described around the circumference, multiply the square of the radius by two. In a formula it looks as follows:PL = 2Р2, gder is the radius of the circumscribed circle.This pattern is derived from the fact that the radius of the circumscribed circle is equal to half the diagonal of the square.For example, suppose you want to calculate the area of a square with the radius of the circumscribed circle is 10 cm Solution.PL = 2*102=200 (cm2).
5
To calculate the area of a square using length its diagonal divide the square diagonally in half. That is:PL = D2/2.This dependence follows from the Pythagorean theorem.For example, we need to calculate the area of a square with a diagonal equal to 12 see the Solution.PL = 122/2=144/2=72 (cm2).