# Square Problems

### Solutions

1Calculate the area and perimeter of a square with a side of 5 cm.

2A square garden with a side length of 150 m has a square swimming pool in the very center with a side length of 25 m. Calculate the area of the garden.

3Find the length of the diagonal of a square with a side of 5 cm.

4Determine the area of the square inscribed in a circle with a circumference of 18.84 cm.

5A square with a side of 2 m has a circle inscribed in it and in turn this circle has a square inscribed in it. If this square also has a circle inscribed in it, what is the area between the last square and the last circle.

6Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.

7Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm.

## 1

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}

## 2

A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

A_{P} = 25^{2} = 625 m²

A_{J} = 150^{2} − 625 = 21 875 m²

## 3

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

## 4

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

## 5

A square with a side of 2 m has a circle inscribed in it and in turn this circle has a square inscribed in it. If this square also has a circle inscribed in it, what is the area between the last square and the last circle.

## 6

Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.

## 7

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