Ellipse Calculator
Ellipse Calculator
| Quantity | Value |
|---|---|
| Semi-major Axis (a) | 5.00 |
| Semi-minor Axis (b) | 3.00 |
| Area (πab) | 47.1239 |
| Perimeter (Ramanujan) | 25.5270 |
| Eccentricity (e) | 0.8000 |
| Focal Distance (c = ae) | 4.0000 |
| Flattening (f) | 0.4000 |
| Shape | Highly elongated |
Axes and Focal Distance
About the Ellipse Calculator
The area of an ellipse is the exact product πab — a circle is just the special case a = b. The perimeter has no elementary formula; the Ramanujan approximation used here, π(a+b)(1 + 3h/(10 + √(4 − 3h))), is accurate to within 0.04% for any shape.
Ellipses in the Real World
Planet orbits are ellipses with the Sun at one focus; whispering galleries focus sound at the two foci; and the Earth itself is an oblate ellipsoid with flattening ~1/298. Eccentricity quantifies each of these — from 0 (perfect circle) toward 1 (almost a line).
Frequently Asked Questions
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