# Disconcerting disc

Find the Moment of Inertia (in S.I. unit) of a uniform semicircular disc of mass $$M$$ and radius $$R$$ about an axis parallel to its plane and touching it at circumference while making an angle $$\theta$$ with its diameter as shown in the figure.

$$\text{Given Data} : ~ M=12~kg \\ R = 5m \\ \theta = \cos ^{ -1 }{ \left( \frac {\pi }{ 4 } \right) }$$

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