A) 22:7
B) 14:11
C) 7:22
D) 11:14
Correct Answer: B
Solution :
Let radius of circle be r and side of a square be a. According to the given condition, Perimeter of a circle = Perimeter of a square \[\therefore \,\,\,2\pi r=4a\Rightarrow a=\frac{\pi r}{2}\] .....(i) Now,\[\frac{Area\text{ }of\text{ }circle}{Area\,of\,square}=\frac{\pi {{r}^{2}}}{{{\left( a \right)}^{2}}}=\frac{\pi {{r}^{2}}}{{{\left( \frac{\pi r}{2} \right)}^{2}}}\] [from Eq. (i)] \[=\frac{\pi {{r}^{2}}}{{{\pi }^{2}}{{r}^{2}}/4}=\frac{4}{\pi }=\frac{4}{22/7}=\frac{28}{22}=\frac{14}{11}\]
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