The polar moment of inertia of a solid circular shaft of diameter (D) is
A. $$\frac{{\pi {{\text{D}}^3}}}{{16}}$$
B. $$\frac{{\pi {{\text{D}}^3}}}{{32}}$$
C. $$\frac{{\pi {{\text{D}}^4}}}{{32}}$$
D. $$\frac{{\pi {{\text{D}}^4}}}{{64}}$$
Answer: Option C

Determine the theoretical dimensions (width and thickness) of a rectangular sunk key used in a shaft-coupling assembly. The shaft diameter is 50 mm