# One quarter sector is cut from a uniform circular disc of radius R. this sector has mass M. it is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

Q: One quarter sector is cut from a uniform circular disc of radius R. this sector has mass M. it is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

(a) $\frac{1}{2} M R^2$

(b) $\frac{1}{4} M R^2$

(c) $\frac{1}{8} M R^2$

(d) $\sqrt{2} M R^2$

Ans: (a)