Report a Problem
Suggestions

Calculate The Perimeter Of An Ellipse

Last updated: Saturday, June 24, 2023
More Details
Details
Ask a Question
Question
Select an approximation formula below
Naïve Formula
Euler's Formula
Kepler's Formula
Peano's Formula
Ramanujan Formula 1
Ramanujan Formula 2

Peano's formula is one method for approximating the perimeter of an ellipse. It involves computing the sum of an infinite series of terms, and so it is not exact but rather an approximation.

This formula is often used in situations where a good approximation is sufficient and where more precise methods, such as Kepler's formula, are not necessary.

Peano's formula is one of the many approximation formulas used for determining the perimeter of an ellipse
\(P\) \(=\) \(\pi\) \(\cdot\) \(\Big[\dfrac{3}{2}\) \(\cdot\) \((a\) \(+\) \(b)\) \(-\) \(\sqrt{a \cdot b} \Big]\)
\(P\): 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.
Hold & Drag
CLOSE
the length of the major axis
\(a\)
\(meter\)
the length of the minor axis
\(b\)
\(meter\)
\(\pi\) : A mathematical constant with an infinite decimal tail
Bookmark this page or risk going on a digital treasure hunt again

Cookie Policy

PLEASE READ AND ACCEPT OUR COOKIE POLICY.