Question

A square fits exactly inside a circle with all of its vertices being on the circumference of the circle.

The square has sides of lengths x cm
The area of the circle is 56cm^2
Give your answer to 3sf.

Answer 1

The side of the square is 5.9 cm

Explanation:

Area of the circle = 56 square cm

Side of the square= x

Area = π(r x r)

56 = π (r x r)

√17.83 = r

r = 4.22 cm

Diameter = 8.44cm

The diameter is equal to the diagonal of the square.

8.44 = x√2

x = 8.44/√2

= 5.9 cm

The side of the square is 5.9 cm