Quantitative Aptitude Ques 2425

Question: A copper wire is bent in the form of square with an area of $ 121cm^{2}. $ If the same wire is bent in the form of a circle, then the radius (in cm) of the circle is $ ( take,\pi =\frac{22}{7} ) $

Options:

A) 7

B) 10

C) 11

D) 14

Show Answer

Answer:

Correct Answer: A

Solution:

  • Side of square $ =\sqrt{121}=11cm $

$ \therefore $ Length of wire $ =4\times 11=44cm $

$ \therefore $ $ 2\pi r=44 $

$ \Rightarrow $ $ 2\times \frac{22}{7}\times r=44 $

$ \Rightarrow $ $ r=\frac{44\times 7}{2\times 22}=7,cm $