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Moment of Inertia of a thin rod about the axis perpendicular to its length and passing through its center of mass is Ml^2/12 i.e
I1 = Ml^2/12.........................................(a)
Now, rod of length ''l'' is formed into a circular ring say Radius ''R''
then
2πR = l
R = l/2π
Moment of Inertia of the ring passing through the center of mass is MR^2 i.e
I2 = MR^2
(a)/(b) = I1/I2 = (Ml^2/12 )/Ml^2/4π^2
= π^2/3
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