The moment of inertia of a uniform elliptical disc about its center and perpendicular to the plane of the disc (the z-axis) is given by the following formula:

I = \frac{1}{4} M \left( r_{\text{major}}^2 + r_{\text{minor}}^2 \right)

Where:

• is the mass of the disc,
• is the length of the major axis,
• is the length of the minor axis.