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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.
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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