If area of a square is 64 sq cm, then find the area of the

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

1. 215/π sq cm
2. 216/π sq cm
3. 256/π sq cm
4. 318/π sq cm
5. None of the above

Correct Option: C

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.