Ellipse Area Calculator

Input value：
Semi-minor axis(r1):
Semi-major axis(r2):
Results:
Ellipse circumference：

What is an Ellipse Area Calculator?

An Ellipse Area Calculator is a tool used to calculate the area of an ellipse, a stretched-out circle (oval shape), using its major axis and minor axis.

Why use an Ellipse Area Calculator?

Manually computing the area of an ellipse requires the use of π, which can be cumbersome for large or decimal values. A calculator is useful for:
✅ Quick and accurate results.
✅ Geometry and mathematics studies.
✅ Engineering, physics, and real-world applications like architecture.

How does an Ellipse Area Calculator work?

1. Ellipse Area Formula

Area=π×a×b

where:

  • a = Semi-major axis (half of the longest diameter)
  • b = Semi-minor axis (half of the shortest diameter)
  • π≈3.1416

2. Special Cases

  • If the ellipse is a circle (where a=b), the formula simplifies to: Area=πr2 where r is the radius.

When is an Ellipse Area Calculator Used?

🏗 Engineering & Architecture – Designing elliptical structures, bridges, or domes.
🌍 Astronomy & Physics – Calculating planetary orbits and celestial body shapes.
🎨 Graphic Design & CAD – Creating precise elliptical shapes.
🏟 Sports & Stadiums – Measuring elliptical tracks or arenas.
📊 Mathematics & Education – Teaching and solving geometry problems.