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

A) \( \Large \frac{215}{\pi} \)sq cm

B) \( \Large \frac{216}{\pi} \)sq cm

C) \( \Large \frac{256}{\pi} \)sq cm

D) \( \Large \frac{318}{\pi} \)sq cm

Correct answer:
C) \( \Large \frac{256}{\pi} \)sq cm

Description for Correct answer:
Area of square = 64 sq cm

\( \Large (Side)^{2} \)= 64

Side = \( \Large \sqrt{64} \) = 8 cm

According to the question,

=> \( \Large 2\pi r=4\times 8 \) => r=\( \Large \frac{4\times 8}{2\pi}=\frac{16}{\pi} \)

Area of the circle

=\( \Large \pi \times 16/ \pi\times 16/ \pi=\frac{256}{\pi} \)sq cm.


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