The moment of inertia of a uniform circular disc of radius R and...

M. I. of uniform circular disc about an axis and perpendicular to the plane is: I_C=$\frac{1}{2}$M R² Using the theorem of parallel axis. M. I. of uniform circular disc about an axis touching the disc at it diameter is:$$\begin{aligned}I & =I_C+M R² \\ & =\frac{1}{2}M R²+M R² \\ & =\frac{3}{2}M R² . \end{aligned}$$