Mensurationhard · Past Paper
If the area of a circle and a square are equal, find the ratio of their perimeters.
Asqrt(pi) : 2
B2 : sqrt(pi)
Cpi : 4
D1 : 1
✓ Correct Answer: A — sqrt(pi) : 2
s^2 = pi*r^2 => s = r*sqrt(pi). Ratio = (2*pi*r) / (4*r*sqrt(pi)) = pi / (2*sqrt(pi)) = sqrt(pi) / 2.
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