2016 · Q69
If the perimeter of a circle is equal to that of a square, then what is the ratio of area of circle to that of square ?
Elementary MathematicsMensuration
- A22 : 7
- B14 : 11
- C7 : 22
- D11 : 14
Explanation
Equal perimeters give 2πr = 4s, so r = 2s/π. Circle area = π(2s/π)² = 4s²/π and square area = s². The ratio is 4/π = 4/(22/7) = 14:11 (option B).