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} $
BETA
