A circular hole of radius $\frac { R } { 4 }$ 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-\\
(1) $\frac { 219 M R ^ { 2 } } { 256 }$\\
(2) $\frac { 237 M R ^ { 2 } } { 512 }$\\
(3) $\frac { 197 M R ^ { 2 } } { 256 }$\\
(4) $\frac { 19 M R ^ { 2 } } { 512 }$