The correct option is (B) \[14:11\]
Explanation:
Let us take r as the radius of the circle and a as the side of the square.
From the given question,
Perimeter of a circle of radius r = Perimeter of a square of side a
i.e., \[2\pi r=4a\]
we got \[a=\pi r/2\]
Area of the circle of radius r = \[{{r}^{2}}\] and Area of the square of side a = \[{{a}^{2}}\]
Now, Ratio of their areas is equal to (Area of circle)/(Area of square)
\[=\frac{\pi {{r}^{2}}}{{{a}^{2}}}=\frac{\pi {{r}^{2}}}{{{\left( \frac{\pi {{r}^{2}}}{2} \right)}^{2}}}=\frac{\pi {{r}^{2}}}{\frac{{{\pi }^{2}}{{r}^{2}}}{4}}\]
= \[4\pi \]
= \[[4/(22/7)]\]
= \[14/11\]
Therefore, Option B is correct.