Consider a uniform wire of mass $M$ and length $L$. It is bent into a semicircle. Its moment of inertia about a line perpendicular to the plane of the wire passing through the centre is:

  • A
    $\frac{1}{4} \frac{ML^2}{\pi^2}$
  • B
    $\frac{2}{5} \frac{ML^2}{\pi^2}$
  • C
    $\frac{ML^2}{\pi^2}$
  • D
    $\frac{1}{2} \frac{ML^2}{\pi^2}$

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