Ellipse Calculator
Calculate ellipse area, perimeter, and eccentricity from semi-major and semi-minor axes
About this calculator
The Ellipse Calculator is a powerful tool that computes essential ellipse properties including area, perimeter, and eccentricity using the semi-major and semi-minor axes as inputs. This calculator is invaluable for students, engineers, architects, and professionals working with elliptical shapes in mathematics, physics, astronomy, and engineering applications. It eliminates complex manual calculations and provides instant, accurate results for ellipse analysis and design projects.
How to use
Enter the length of your ellipse's semi-major axis (the longer radius from center to edge) and semi-minor axis (the shorter radius) into the input fields. Click calculate to instantly receive the ellipse's area, perimeter, and eccentricity values with precise mathematical accuracy.
Frequently asked questions
What is the difference between semi-major and semi-minor axes?
The semi-major axis is the longest radius from the ellipse center to its edge, while the semi-minor axis is the shortest radius perpendicular to it.
What does eccentricity tell us about an ellipse?
Eccentricity measures how stretched an ellipse is. Values closer to 0 indicate a more circular shape, while values closer to 1 indicate a more elongated ellipse.
How accurate is the ellipse perimeter calculation?
The calculator uses Ramanujan's approximation formula, which provides highly accurate results for practical applications with minimal error for most ellipse dimensions.