A thin wire of length $l$ and uniform linear mass density of $\rho $ is bent into a circular loop with centre $O$ and radius $r$ as shown in the figure. The moment of inertia of the loop about the axis $XX'$ is
A thin wire of length $l$ and uniform linear mass density of $\rho $ is bent into a circular loop with centre $O$ and radius $r$ as shown in the figure. The moment of inertia of the loop about the axis $XX'$ is
- A
$\frac{{3\rho {l^3}}}{{8{\pi ^2}}}$
- B
$\frac{{\rho {l^3}}}{{16{\pi ^2}}}$
- C
$\frac{{3\rho {l^3}}}{{8{\pi ^2r}}}$
- D
$\frac{{\rho {l^3}}}{{8{\pi ^2r}}}$
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