A) \[\pi :\sqrt{3}\]
B) \[2:\sqrt{\pi }\]
C) \[3:\pi \]
D) \[\pi :\sqrt{2}\]
Correct Answer: B
Solution :
| [b] Let o be the side of the square and r be the radius of the circle. |
| \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{a}^{2}}=\pi {{r}^{2}}\] |
| \[\Rightarrow \,\,\,\,\,\,\,\,\,\frac{{{a}^{2}}}{{{r}^{2}}}=\pi \,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,\frac{a}{r}=\sqrt{\pi }\] |
| Now. required ratio |
| \[=\frac{4a}{2\pi r}=\frac{2\sqrt{\pi }}{\pi }=\frac{2}{\sqrt{\pi }}=2:\sqrt{\pi }\] |
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