Perimeter of an Ellipse

Written by Jerry Ratzlaff on . Posted in Plane Geometry

Perimeter of an Ellipseellipse 4

The formula is an approximation that is about 5% of the true value as long as "a" is no more than 3 times longer than "b".

Perimeter of an Ellipse formula

\(p \approx 2\pi \sqrt { \frac{1}{2} \left(a^2 + b^2 \right) } \)          \( perimeter   \;\approx\;   2 \;\;x\;\;  Pi \; \sqrt { \; \frac{1}{2} \; \left( \; axis \; a^2 \;+\; axis \; b^2 \; \right) } \)

Where:

\(p\) = perimeter

\(a\) = length semi-major axis

\(b\) = length semi-minor axis

\(\pi\) = Pi

 

Tags: Equations for Perimeter