Instruction

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For

**the square**perimeter (P) is equal to four times the value of one side (b). P = 4*b or the sum of the lengths of all sides P = b + b + b + b. The area**of a square**is expressed as the product of two adjacent sides. Find the length of one side**of the square**. If you only know the area (S), remove its value the square root a = √S. Then determine the perimeter.2

Given: area

**of square**is 36 cm2. Find the perimeter of a figure.Solution 1. Find the side**of square**b = √S, b = √36 cm2, b =6 cm, Find the perimeter: P = 4*b, P = 4*6cm, P = 24 cm P = 6 + 6 + 6 + 6 R = 24cm.Answer: the perimeter**of a square***with an area of*36 cm2 24 cm3

To find the perimeter

**of the square**through the square without extra action (computation). Use the formula for perimeter is valid only for**square**P = 4*√S.4

Solution 2. Find the perimeter

**of a square**: P = 4*√S, P = 4*√36см2, P = 24 cm Answer: perimeter**of square**is 24 cm5

Many of the parameters of this geometric shape are linked. Knowing one of them, you'll be able to find any other. There are also the following calculation formula:Diagonal: a2 = 2*b2, where a is the diagonal, b – side

**of the square**. Or a2=2S.The radius of the inscribed circle: r = b/2 where b – side.Radius of circumscribed circle: R = ½*d, where d is the diagonal**of the square**.The diameter of the circumcircle: D = f, where f is diagonal.Note

The beneficial properties of a square:

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.

# Advice 2 : How to find the area, knowing the diameter

Objectives to calculate the area of a circle often meet in the school geometry course. To find the

**area**of a circle, you need to know the length**of the diameter**or radius of a circle in which it is enclosed.You will need

- - the length of the diameter of the circle.

Instruction

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A circle is a figure in the plane consisting of a plurality of points disposed in the same distance from another point called the centre. A circle is a flat geometric figure, represents the set of points enclosed in a circle which is the boundary of the circle. Diameter is a segment that connects two points on the circle and passing through its center. The radius is the segment connecting a point on the circle and its center. π — the number "PI", a mathematical constant that is the constant. It shows the ratio of the circumference to the length of its

**diameter**. To compute the exact value of π is impossible. In geometry use the approximate value of this number: π ≈ 3,142

The area of a circle equals the product of the square of the radius to the number calculated by the formula: S=NR^2, where S is

**the area**of the circle, R is the length of the radius of the circle.3

From the definition of the radius, it follows that it is equal to half

**the diameter**. Hence, the formula becomes: S=π(D/2)^2, where D is the length**of the diameter**of the circle. Substitute in the formula the value**of the diameter**, calculate**the area**of a circle.4

The area of a circle is measured in square units — mm2, cm2, m2, etc. In what units is expressed you received

**the area**of a circle depends on what units was the diameter of a circle.5

If you need to calculate

**the area**of a ring use this formula: S=π(R-R)^2, where R, r are radii of the outer and inner circumferences of the ring, respectively.Useful advice

There is an international day of "PI", which is celebrated on March 14. The exact time of onset of the official date — 1 hour 59 minutes 26 seconds, according to figures the number is 3,1415926...

# Advice 3 : How to find the area and perimeter of a square

A square is a geometrical figure consisting of four sides of equal length and four right angles, each of which is equal to 90°. Determine the area or

**of a quadrilateral, with anyone, is required not only when solving problems in geometry and in everyday life. These skills can be useful, for example, during repairs when calculating the right amount of materials - floor coverings, walls or ceiling, as well as a breakdown of lawns and garden beds etc.****perimeter**Instruction

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To find the area

*of a square*multiply the length value by the value of width. As the square length and width are the same, then the value enough to square. Thus, the area of a square equals length of its side squared. A unit of area can be square millimeters, centimeters, decimeters, meters, kilometers.To determine the area of a square, you can use formulas = aa, where S is the area of a square and the side of the square.2

Example No. 1. The room is square-shaped. How much plastic (in square metres) will be required in order to completely cover the floor, if the length of one side of the room is 5 meters.Write down the formula: S = aa. Substitute it specified in the condition data.Since a = 5 m, hence the area will be Ravna (room) = 5x5= 25 sq m, so and S (laminate) = 25 sq. m.

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The perimeter is the total length of the border. Squared perimeter is the length of all four, with the same sides. That is, the perimeter of the square is the sum of all its four sides. To calculate the perimeter of a square, it is sufficient to know the length of one side. Perimeter is measured in millimeters, centimeters, decimeters, meters, kilometers.To define a perimeter formula:P = a + a + a + a Ilir = 4a, gder perimeter,and side length.

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Example No. 2. For finishing works of the premises in the form of a square required ceiling moldings. Calculate the total length (perimeter) skirting, if the value of one side of the room is 6 meters. Write down the formula P = 4a.Substitute it specified in the condition data:P (room) = 4 x 6 = 24 meters.Consequently, the length of the ceiling moldings will also be equal to 24 meters.