From a disc of radius `R and mass M`, a circular hole of diameter `R`, whose rim passes through the centre is cut. What is the moment of inertia of remaining part of the disc about a perependicular axis, passing through the centre ?

Options

A. `3 MR^(2) //32`
B. `15 MR^(2) //32`
C. `13 MR^(2) //32`
D. `11 MR^(2) //32`

Explanation

`I_(o) = (1)/(2) MR^(2) - [(1)/(2) (M)/(4) ((R )/(2))^(2) + (M)/(4) ((R )/(2))^(2)]`
`= (12 MR^(2))/(32)`