# Squares

A square has 4 equal sides and 4 right angles.

The diagonals of a square are equal, perpendicular and bisectors of their angles.

### Area of a Square

The area of a square equals the square of its side.

#### Perimeter of a square

#### Examples

Calculate the area and perimeter of a square with a side of 5 cm.

P = 4 · 5 = 20 cm

A = 5^{2} = 25 cm^{2}

Calculate the shaded area, knowing that the outer square has a side of 6 cm and the radius of the circle is 3 cm.

Calculate the area of the square inscribed in a circle with a circumference of 18.84 cm.

#### Diagonal of the Square

By applying the Pythagorean theorem for one of the triangles, we obtain:

#### Example

Find the length of the diagonal of a square with a side of 5 cm.

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