Use this ellipse perimeter calculator to quickly calculate perimeter of ellipse using semi-major and semi-minor axes. Perfect for ellipse circumference formula tasks.
P = perimeter of ellipse
a = semi-major axis
b = semi-minor axis
π ≈ 3.14159
| Semi-major axis (a) | Semi-minor axis (b) | Perimeter |
|---|---|---|
| 2 | 1 | 9.688448 |
| 3 | 2 | 15.865439 |
| 5 | 3 | 26.008370 |
| 10 | 5 | 47.442012 |
| 20 | 10 | 94.884024 |
1. Measure semi-major axis (a) and semi-minor axis (b).
2. Apply Ramanujan approximation formula: P ≈ π [ 3(a + b) − √((3a + b)(a + 3b)) ].
3. Compute step by step for accurate result.
This ellipse perimeter calculator automatically computes results with up to six decimal places. Useful for students, engineers, and designers needing precise calculate perimeter of ellipse results.
• Ellipse perimeter has no simple exact formula using elementary functions.
• Ramanujan formulas provide very accurate approximations.
• Elliptical curves are important in astronomy and optics.
• Many stadium tracks use elliptical arcs for smooth curves.
• Perimeter depends strongly on both semi-major and semi-minor axes.