The ratio of the moment of inertia of a circle and that of a square having the same area about their centroidal axis is

1
\(\frac{3}{\pi }\)
2
\(\frac{3}{{2\pi }}\)
3
\(\frac{4}{\pi }\)
4
\(\frac{4}{{3\pi }}\)
5
\(\frac{9}{\pi }\)

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