What is the formula for the area of an ellipse?

Area = π × a × b, where a and b are the lengths of the semi-major and semi-minor axes.

What are the semi-major and semi-minor axes?

The semi-major axis is half the ellipse's longest diameter; the semi-minor axis is half its shortest diameter.

Is a circle a special case of an ellipse?

Yes — when the semi-major and semi-minor axes are equal, the ellipse becomes a circle, and the formula simplifies to πr².

Is this tool free to use?

Yes — completely free, no account needed. Everything is calculated entirely in your browser and never uploaded to a server.

← Online Math Tools

Ellipse Area Calculator Online

What you can expect

Calculate the area of an ellipse from its semi-major and semi-minor axes with this free online calculator. Enter both axes to get the area using π × a × b for oval rugs, tables, and orbits.

Ellipse Area

Related tools

More BrushCue tools that fit this workflow.

See all tools →

Circle Area

Calculate the area of a circle from its radius with this free online calculator. Enter the radius to get the area using π × r², useful for geometry homework, garden beds, and round tables.

Square Area

Calculate the area of a square from its side length with this free online calculator. Enter one side to get the area using side², useful for tiling, flooring, and geometry homework.

Rectangle Area

Calculate the area of a rectangle from its width and height with this free online calculator. Enter both sides to get the area instantly, useful for rooms, walls, paint estimates, and geometry homework.

Trapezoid Area

Calculate the area of a trapezoid from its two parallel bases and height with this free online calculator. Uses (a + b) / 2 × height, useful for land plots, roof sections, and geometry homework.

Parallelogram Area

Calculate the area of a parallelogram from its base and height with this free online calculator. Enter the base and vertical height to get the area using base × height for geometry and drafting.

Included in collections

Browse by category

Online Math Tools

→

Frequently asked questions

What is the formula for the area of an ellipse?: Area = π × a × b, where a and b are the lengths of the semi-major and semi-minor axes.
What are the semi-major and semi-minor axes?: The semi-major axis is half the ellipse's longest diameter; the semi-minor axis is half its shortest diameter.
Is a circle a special case of an ellipse?: Yes — when the semi-major and semi-minor axes are equal, the ellipse becomes a circle, and the formula simplifies to πr².
Is this tool free to use?: Yes — completely free, no account needed. Everything is calculated entirely in your browser and never uploaded to a server.

For developers

Use Ellipse Area from Python

Open the Jupyter notebook example to see how to run this tool from the BrushCue Python API, inspect the processing steps, and adapt the workflow for scripts or batch image jobs.

View Python notebook

Build your own

Create projects with your custom presets

Save work, organize projects, and keep your favorite tool setups ready to go. No login required — everything is stored privately on your computer.

Go to projects