The moment of inertia of a uniform semicircular disc of mass $M$ and radius $r$ about a line perpendicular to the plane of the disc through the centre is\\
(1) $\frac{1}{4}\mathrm{Mr}^2$\\
(2) $\frac{2}{5}\mathrm{Mr}^2$\\
(3) $\mathrm{Mr}^2$\\
(4) $\frac{1}{2}\mathrm{Mr}^2$