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Determine the polar moment of inertia of the shaded area shown with respect to point $P$ when $a=14.7mm$ Hint: The fastest way to find the Moments of Inertia here would be dividing the area into two rectangles: a big one and a hole.

Attached image shows the X-X axis and Y-Y axis.

Moment of inertia of shaded area about the X-X axis (shown in the attached image):-

Axis X-X is the base of the rectangle section.

Therefore,