Ellipse Perimeter Calculator: Find the Circumference of an Ellipse

Calculate Ellipse Perimeter

Enter the length of the semi-major axis.
Enter the length of the semi-minor axis.

Instantly calculate the perimeter of an ellipse (also known as its circumference) with our easy-to-use online calculator. Simply input the semi-major axis and semi-minor axis to get accurate results for your geometric, engineering, or design needs. Understand the formula and how to find the ellipse perimeter quickly.

Formula:

The perimeter (circumference) of an ellipse does not have a simple exact formula, but can be approximated using various methods. This calculator uses Ramanujan's first approximation:

P ≈ π [3(a+b) - √((3a+b)(a+3b))]

  • P: Perimeter (circumference) of the ellipse
  • π: Pi (approximately 3.14159)
  • a: Length of the semi-major axis
  • b: Length of the semi-minor axis

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