Ellipse perimeter

Ellipse perimeter: use first semiaxis, second semiaxis. Review the formula, worked example and calculation steps.

Inputs

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RESULT
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Formula & explanation
Ramanujan: P ≈ π(a+b)[1+3h/(10+√(4−3h))], h=((a−b)/(a+b))²

Variables & units

First semiaxis
m · minimum 0.000001, maximum 1000000000000
Second semiaxis
m · minimum 0.000001, maximum 1000000000000

Worked example

A circle with both semiaxes 1 m gives 2π m.

Assumptions

A high-accuracy approximation for ellipses, not an exact elementary formula.

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Practice with an example

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