A thin wire of length L and uniform linear mass density $\mathrm{\rho }$ is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about an axis, XY is

• A

  $\frac{{\mathrm{\rho L}}^3}{8{\mathrm{\pi }}^2}$

• B

  $\frac{{\mathrm{\rho L}}^3}{16{\mathrm{\pi }}^2}$

• C

  $\frac{5{\mathrm{\rho L}}^3}{8{\mathrm{\pi }}^2}$

• D

  $\frac{3{\mathrm{\rho L}}^3}{8{\mathrm{\pi }}^2}$