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A thin wire of length \( L \) and uniform linear mass density \( \rho \) is bent into a circular loop with centre at \( O \) as shown. The moment of inertia of the loop about the axis \( x x^{\prime} \) is
(a) \( \frac{\rho L^{3}}{8 \pi^{2}} \)
(b) \( \frac{\rho L^{3}}{16 \pi^{2}} \)
(c) \( \frac{5 \rho L^{3}}{16 \pi^{2}} \)
(d) \( \frac{3 \rho L^{3}}{8 \pi^{2}} \)
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