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Ellipse Area and Perimeter

Find ellipse area and approximate perimeter from its semiaxes.

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Local calculations. Results are estimates, not professional advice.

Area

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Inputs are semiaxes, half the full axis lengths. Perimeter is approximate.

Formula

A=πab; perimeter uses Ramanujan’s second approximation.

Find ellipse area and approximate perimeter from its semiaxes.

Worked example

First semiaxis (m)
3
Second semiaxis (m)
2
Area
18.8495559215 m²
Approximate perimeter
15.8654395893 m

Scope and limitations

Inputs are semiaxes, half the full axis lengths. Perimeter is approximate.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 7dc2027a1e0e · Example checked:

Methodology

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