Suppose there is a uniform circular disc of mass M kg and radius r m shown in figure. The shaded regions are cut out from the disc. The moment of…

Suppose there is a uniform circular disc of mass $\displaystyle M \mathrm{~kg}$ and radius $\displaystyle r \mathrm{~m}$ shown in figure. The shaded regions are cut out from the disc. The moment of inertia of the remainder about the axis $\displaystyle A$ of the disc is given by $\displaystyle \frac{x}{256} M r^2$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.