Select an approximation formula below
Kepler's formula can be used to calculate an approximation of the perimeter of an ellipse. This formula gives an approximation of the perimeter that is accurate to within a few percent for most ellipses. It is named after Johannes Kepler, a German mathematician and astronomer who lived in the late 16th and early 17th centuries.
The perimeter of an ellipse is important in many practical applications, such as in the design of oval-shaped racetracks, the construction of elliptical swimming pools, and the calculation of the perimeter of the Earth's equator (which is approximately an ellipse).
Kepler's formula is one of the many approximation formulas used for determining the perimeter of an ellipse
\(P\): the perimeter of the ellipse
\(a\): the length of the major axis
\(b\): the length of the minor axis
\(\pi\): A mathematical constant with an infinite decimal tail
The SI unit of perimeter is \(meter\text{ }(m)\)
Find \(P\)
Use this calculator to determine the perimeter of an ellipse when both lengths of the minor and major axis are given.
the length of the major axis
the length of the minor axis
\(\pi\) : A mathematical constant with an infinite decimal tail
