Ellipse Calculator
Semi-major axis (a)
Semi-minor axis (b)
An ellipse is an oval curve defined by two focal points. It has two axes: the semi-major axis (a, longer) and semi-minor axis (b, shorter). Ellipses appear in planetary orbits, optics, and engineering.
- 1Area = π × a × b
- 2Perimeter ≈ π × [3(a+b) − √((3a+b)(a+3b))] (Ramanujan)
- 3Eccentricity = √(1 − (b/a)²)
- 4A circle is an ellipse where a = b
a = 5, b = 3=Area = π×5×3 = 47.12, Eccentricity ≈ 0.8
a = 10, b = 6=Area = 188.5, Perimeter ≈ 51.05
| a | b | Area | Eccentricity |
|---|---|---|---|
| 5 | 3 | 47.12 | 0.80 |
| 10 | 6 | 188.50 | 0.80 |
| 8 | 5 | 125.66 | 0.78 |
| 7 | 7 | 153.94 | 0 (circle) |
References
🔒
100% Gratis
Ingen registrering
✓
Nøyaktig
Verifiserte formler
⚡
Øyeblikkelig
Resultater med én gang
📱
Mobilevennlig
Alle enheter