Ellipse Circumference Calculator
MathCalculate the circumference of an ellipse from its semi-major and semi-minor axes.
Circumference
Circumference of the ellipse, using Ramanujan's approximation.
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Odeh Ahwal0people find this calculator helpful
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Frequently Asked Questions
How accurate is Ramanujan's approximation?
Extremely accurate, typically within a tiny fraction of a percent of the true value for any realistic ellipse shape, which is why it is the standard formula used across nearly all ellipse calculators rather than a full elliptic integral.
Why is there no simple exact formula like circumference equals pi times diameter for a circle?
A circle is a special, highly symmetric case. A general ellipse's true circumference requires an elliptic integral, a type of calculus expression with no simple closed-form algebraic solution, which is why an accurate approximation formula is used instead.
Does circumference or perimeter mean something different for an ellipse?
No, they are the same measurement, the total distance around the shape. Both terms are used interchangeably for an ellipse, similar to how they are for a circle.
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