From a disc of radius R, a concentric circular portion of radius r is cut-out so

From a disc of radius R, a concentric circular portion of radius r is cut-out so as to leave an annular disc of mass M. The moment of inertial of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is

Options

(a) M/2(R²+r²)
(b) M/2(R²-r²)
(c) M/2(R⁴+r⁴)
(d) M/2(R⁴-r⁴)

Correct Answer:

M/2(R²+r²)

Explanation:

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