Ellipse Calculator
Calculate area, perimeter (Ramanujan approximation), eccentricity, and focal distance of an ellipse from semi-major and semi-minor axes.
How to Use Ellipse Calculator
The Ellipse Calculator computes key properties of an ellipse from its semi-major axis (a) and semi-minor axis (b). It calculates the area using ĻĆaĆb, the perimeter using Ramanujan's highly accurate approximation formula, the eccentricity (how elongated the ellipse is, from 0 for a circle to near 1 for very elongated), and the focal distance. Essential for geometry students, engineers designing elliptical structures, astronomers working with orbital mechanics, and anyone needing precise ellipse measurements. All formulas are displayed alongside results.
Step-by-Step Instructions
- Enter the semi-major axis (a) ā the longer radius
- Enter the semi-minor axis (b) ā the shorter radius
- Click Calculate to see area, perimeter, eccentricity, and focal distance
- Copy the results using the copy button
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