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Geometry

Ellipse Area Calculator

Find the area using the two distances from the centre to the ellipse edges.

Let’s calculate.

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Your result
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Rounded to up to 2 decimal places.

Measurement units

Changing the input unit also selects its matching result unit. Choose another result unit to convert the answer. Input numbers stay unchanged.

SI prefixes and selected international / customary units. Coverage: SI and selected current customary units. Historical units are excluded.

See what you’re calculating

ab
Area = π × a × b

Find the area using the two distances from the centre to the ellipse edges.

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THE IDEA, SIMPLY

How it works

Find the area using the two distances from the centre to the ellipse edges.

FORMULA

Area = π × a × b

A worked example

Semi-axes 5 m and 3 m give 15π ≈ 47.1239 m².

Formula & detailed explanation

Semi-axes are half the full width and height; both nonnegative.

Calculations use decimal arithmetic with 40 significant digits internally. Choose 0–8 decimal places for the displayed result. Trailing zeros are omitted. Rounding affects only the displayed and copied result; very small values may round to zero. Accepted inputs have up to 100 characters and magnitudes from 10⁻¹⁰⁰ to 10¹⁰⁰, plus zero.