A uniform wire of length L is bent in the form of a circle. The shift in its centre of mass is

Question

$$\begin {array} {1 1} (a)\;\frac{L}{\pi} \\ (b)\;\frac{2L}{\pi} \\ (c)\;\frac{L}{2 \pi} \\ (d)\;\frac{L}{3 \pi} \end {array}$$