Moment of inertia of a semicircular ring about an axis perpendicular to its plane and passing through its centre of mass. (mass M,Radius R)

Question

 

$$\begin {array} {1 1} (a)\;MR^2+M \bigg(\frac{2R}{\pi}\bigg)^2 & \quad (b)\;MR^2 \bigg[1- \frac{4}{\pi}\bigg] \\ (c)\;MR^2 & \quad  (d)\;\frac{MR^2}{2} \end {array}$$

Comments

is option (B) is correct. i think their must be        
MRsqr[1−4/πsqr]