A uniform semicircular disc of mass `'m'` and radius `'R'` is shown in the figure. Find out its moment of inertia about.
`(a)` axis `'AB' (` shown in the figure `0` which passes through geometrical centre and lies in the plane of the disc
`(b)` axis `'CD'` which passes through its centre of mass and it is perpendicular to the plane of the disc.

Options

A. `(MR^2)/2-M((2R)/pi)^2`
B. `(MR^2)/2-M((4R)/pi)^2`
C. `(MR^2)/2+M((4R)/(3pi))^2`
D. `(MR^2)/2+M((2R)/(pi))^2`

Answer

B