The circumference of an ellipse - or the perimeter of the ellipse - has no simple equation similar to that of a circle. There are approximations of the circumference, with two shown here:
| Basic Approximation | |
| Ramanujan approximation | |
There is an "exact formula" for the circumference, which is an integral of the second kind shown here:
|
Where |
a = semi major axis of the ellipse |
| e = eccentricity |
However, solving this equation becomes very complicated as it entails an infinite series.