Moment of inertia of a thin semicircular disc `(mass - M & radius = R)` about an axis through point `O` and perpendicular to plane of disc, is given by :
.

Options

A. `Mr^(2)`
B. `(1)/(2)Mr^(2)`
C. `(1)/(4)Mr^(2)`
D. `(2)/(5)Mr^(2)`

Explanation

`I_("whole disc")=(1)/(2)(2M)r^(2)=Mr^(2)`
`thereforeI_("half disc")=(1)/(2)Mr^(2)`