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.

Square

Area of a Square

Perimeter of a square

Perimeter of a Square

Examples

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

Square

P = 4 · 5 = 20 cm

A = 52 = 25 cm2

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

Circle Inscribed in a Square

Polygon Operations

Polygon Operations

Polygon Operations

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

Square Inscribed in a Circle

Polygon Operations

Polygon Operations

Polygon Operations

Diagonal of the Square

Diagonal of the Square

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

Polygon Operations

Polygon Operations

Diagonal of the Square

Example

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

Diagonal of the Square

Polygon Operations

Polygon Operations