Quantitative Aptitude Ques 2062

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

Options:

A) $ \frac{215}{\pi }cm^{2} $

B) $ \frac{216}{\pi }cm^{2} $

C) $ \frac{256}{\pi }cm^{2} $

D) $ \frac{318}{\pi }cm^{2} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Area of square $ =64cm^{2} $ $ {{\text{(Side)}}^{2}}=64 $ [a = side]

$ \therefore $ $ Side=\sqrt{64}=8cm $ According to the question,

$ \Rightarrow $ $ 2\pi r=4\times 8 $

$ \Rightarrow $ $ r=\frac{4\times 8}{2\pi }=\frac{16}{\pi } $

$ \therefore $ Area of the circle $ =\pi \times \frac{16}{\pi }\times \frac{16}{\pi }=\frac{256}{\pi }cm^{2} $

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