Physics Question from JEE Main 2026 · 23 January, Shift 2

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 inertia of the remainder about the axis $A$ of the disc is given by $\frac{x}{256}Mr^2$. The value of $x$ is _____.