Ellipse Properties Calculator
Calculate area, perimeter, eccentricity, and other properties of ellipses
About this calculator
The Ellipse Properties Calculator is a comprehensive tool that computes essential characteristics of elliptical shapes including area, perimeter (circumference), eccentricity, focal distance, and semi-major/semi-minor axes. This calculator is invaluable for students studying geometry, engineers working with elliptical designs, astronomers analyzing planetary orbits, and professionals in fields requiring precise ellipse measurements. It eliminates complex manual calculations and provides instant, accurate results for all fundamental ellipse properties.
How to use
Enter the semi-major axis (a) and semi-minor axis (b) values of your ellipse into the input fields. The calculator will automatically compute and display the area, perimeter, eccentricity, focal distance, and other key properties. Results are shown with appropriate units and precision for easy interpretation.
Frequently asked questions
What is the difference between semi-major and semi-minor axes?
The semi-major axis is the longest radius from the center to the ellipse edge, while the semi-minor axis is the shortest radius perpendicular to it.
How is ellipse eccentricity calculated?
Eccentricity is calculated as e = √(1 - b²/a²), where 'a' is the semi-major axis and 'b' is the semi-minor axis.
Can this calculator handle circles?
Yes, when the semi-major and semi-minor axes are equal, the ellipse becomes a circle, and the calculator will show circular properties.