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Question

A circular hole of radius ${R \over 4}$ is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is :

${{219\,M{R^2}} \over {256}}$
${{237\,M{R^2}} \over {512}}$
${{19\,M{R^2}} \over {512}}$
${{197\,M{R^2}} \over {256}}$

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