A uniform circular disc of radius ‘R’ and mass ‘M’ is rotating about an axis perpendicular to its plane and passing through its centre. A small circular part of radius R/2 is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above.
1
\(\frac{7}{32} \mathrm{MR}^{2}\)
2
\(\frac{9}{32} \mathrm{MR}^{2}\)
3
\(\frac{17}{32} \mathrm{MR}^{2}\)
4
\(\frac{13}{32} \mathrm{MR}^{2}\)