2020 · Q72
If area of a circle and a square are same, then what is the ratio of their perimeters?
Elementary MathematicsMensuration
- A2√π
- B√π
- C√π/2
- D√π/4
Explanation
Equal areas: πr² = a², so r/a = 1/√π. Perimeter ratio = 2πr : 4a = πr/(2a) = π/(2√π) = √π/2. Numerically the ratio is about 0.886.