Moment of Inertia of a Solid Circle

Easymoment of inertiacircle
A solid circle has a diameter of 0.20 m. Its centroidal area moment of inertia is most nearly:
  1. A3.93 × 10⁻⁵ m⁴
  2. B1.57 × 10⁻⁴ m⁴
  3. C7.85 × 10⁻⁵ m⁴
  4. D3.14 × 10⁻⁴ m⁴
Show solution

Answer: C. 7.85 × 10⁻⁵ m⁴

I = πd⁴/64 = π(0.20)⁴/64 = 7.85 × 10⁻⁵ m⁴. πd⁴/32 is the polar moment J, which is twice this.
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