The moment of inertia of a uniform annular disc of internal radius $r$,external radius $R$,and mass $M$ about an axis passing through its centre and perpendicular to its plane is:

  • A
    $\frac{1}{2}M(R^2 - r^2)$
  • B
    $\frac{1}{2}M(R^2 + r^2)$
  • C
    $\frac{M(R^4 + r^4)}{2(R^2 + r^2)}$
  • D
    $\frac{M(R^4 + r^4)}{2(R^2 - r^2)}$

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