Moment of Inertia of an Ellipse

Moment of Inertia of an Ellipse, Solid Plane formula

(Eq. 1)  \(\large{ I_x =  \frac {\pi}{4}\; l\;w^3 }\)           

(Eq. 2)  \(\large{ I_y =  \frac {\pi}{4}\; l^3\;w }\)          

Where:

\(\large{ I }\) = moment of inertia

\(\large{ l }\) = length

\(\large{ \pi }\) = Pi

\(\large{ w }\) = width