A circular hole of radius (a/2) is cut out of a circular disc of radius 'a' as shown in figure.

Question

A circular hole of radius \(\Big(\frac{a}{2}\Big)\) is cut out of a circular disc of radius 'a' as shown in figure. The centroid of the remaining circular portion with respect to point 'O' will be :

Answer 1

Correct option (2)

Let σ be the uniform mass density of disc
then