Question

The perimeter of a circle is equal to twice that of square then the ratio of their areas is

Answer 1

Radius of circle = r

Side of square = a

Perimeter of circle=2πr

Perimeter of square = 4a

2πr = 2 * 4a

=> r = 4a/π

Area of circle Area of = πr² = π(4a/π)² = 16 a²/π.

Area of square =a ^ 2

Ratio = 16/π

= 16/(22/7)

= 7* 16/22

= 56/11.

Ratio of their areas is: - 56/11=56:11