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If \( I_{1} \) is moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass, and \( I_{2} \) is the moment of inertia of the ring about an axis perpendicular
to plane of ring and passing through its centre formed by bending the rod, then \( I_{1} I_{2} \) is
(A) \( \frac{\pi^{2}}{3} \)
(B) \( \frac{3}{\pi^{2}} \)
(C) \( \frac{2}{\pi^{2}} \)
(D) \( \frac{\pi^{2}}{2} \)
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