You will need

- a calculator or computer

Instruction

1

To calculate

– The length of its side.The area

You want to determine its

**the area****of a square**if 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

Per its perimeter.This formula follows from the previous, considering that all four sides

You want to determine its

**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

It is required to calculate its

**area****of square**knowing 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).