The polar moment of inertia of a circular plane of diameter about its centroid is (in \(\text{cm}^4\)):
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Always remember the direct formulas for a circle of radius \(R\) and diameter \(d\):
- Planar Moment: \(I_{xx} = \frac{\pi R^4}{4} = \frac{\pi d^4}{64}\)
- Polar Moment: \(J = \frac{\pi R^4}{2} = \frac{\pi d^4}{32}\)