Ellipse calculator

Ellipse area = π × first semiaxis × second semiaxis.

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First semiaxis

Second semiaxis

Answer

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Ellipse area = π × first semiaxis × second semiaxis.

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Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

Enter half of each full axis. The calculator reports exact area from these inputs; it does not present an approximate circumference as exact.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Ellipse calculator

Ellipse area = π × first semiaxis × second semiaxis.

Enter half of each full axis. The calculator reports exact area from these inputs; it does not present an approximate circumference as exact.

Next: Circle calculator

A worked example

With first semiaxis = 5, second semiaxis = 3, the area is 47.12388980384689.

Next: Arc length calculator

Before you use the result

Enter half of each full axis. The calculator reports exact area from these inputs; it does not present an approximate circumference as exact.

Example results for first semiaxis

These examples use Second semiaxis: 3. They are reference calculations, not recommended settings.

First semiaxis	Area
2.5	23.5619449019
5	47.1238898038
10	94.2477796077

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