# Moment of Inertia of a Semicircle

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Moment of Inertia of a Semicircle Formula, Solid Plane

 $$\large{ I_x = I_y = \frac {\pi\; r^4}{8} }$$

### Where:

$$\large{ I }$$ = moment of inertia

$$\large{ \pi }$$ = Pi

$$\large{ r }$$ = radius