If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter.

Area of square = 64 sq cm
(Side)² = 64
∴ Side = √64 = 8 cm
According to the question,
⇒ 2πr = 4 x 8
⇒ r = (4 x 8)/2π
⇒ r = 16/π
∴ Area of the circle
= π x (16/π) x (16/π) sq cm
= 256/π sq cm.