Use this ellipse area calculator to quickly calculate area of ellipse using semi-major and semi-minor axes. Perfect for ellipse area formula tasks.
A = area of ellipse
a = semi-major axis
b = semi-minor axis
π ≈ 3.14159
| Semi-major axis (a) | Semi-minor axis (b) | Area |
|---|---|---|
| 2 | 1 | 6.283185 |
| 3 | 2 | 18.849556 |
| 5 | 3 | 47.123890 |
| 10 | 5 | 157.079633 |
| 20 | 10 | 628.318531 |
1. Measure the semi-major axis (a).
2. Measure the semi-minor axis (b).
3. Multiply a × b.
4. Multiply the result by π.
This ellipse area calculator automatically computes results with up to six decimal places. Useful for students, engineers, and designers needing precise calculate area of ellipse results.
• Planetary orbits are often elliptical according to Kepler's laws.
• An ellipse has two foci instead of a single center like a circle.
• Elliptical shapes appear in architecture, astronomy, and engineering.
• Whispering galleries use ellipse geometry to carry sound between two points.
• Many stadium tracks are designed with elliptical curves.