Quantitative Aptitude Ques 627
Question: If the perimeter of a square is equal to the radius of a circle whose area is $ 39424,cm^{2}. $ What is the area of the square?
Options:
A) $ 1225cm^{2} $
B) $ 441cm^{2} $
C) $ 784cm^{2} $
D) Cannot be determined
E) None of the above
Show Answer
Answer:
Correct Answer: C
Solution:
- Perimeter of square = 4a Also, $ \pi r^{2}=39424 $
$ \Rightarrow $ $ r^{2}=\frac{39424\times 7}{22} $
$ \Rightarrow $ $ r^{2}=7\times 7\times 16\times 16 $
$ \Rightarrow $ $ r=16\times 7=112 $
Perimeter of square =112
$ \Rightarrow $ $ 4a=112 $
$ \Rightarrow $ $ a=28 $
Area of square $ =a^{2}={{(28)}^{2}}=784cm^{2} $
BETA
