From a complete ring of mass \( M \) and radius \( R \), a \( 30^{\circ} \) sector is removed. T...

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From a complete ring of mass \( M \) and radius \( R \), a \( 30^{\circ} \) sector is removed. The moment of inertia of the incomplete ring
\( \mathrm{P} \) about an axis passing through the centre of the ring and perpendicular to the plane of the ring is
(1) \( \frac{9}{12} M R^{2} \)
(2) \( \frac{11}{12} M R^{2} \)
(3) \( \frac{11.3}{12} M R^{2} \)
(4) \( M R^{2} \)
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