Ellipse Properties Calculator
Unlock the secrets of ellipses! Enter the standard form equation and discover its center, axes, and orientation. Visualize your ellipse with our interactive graph.
Format: ((x±h)^2/a^2) + ((y±k)^2/b^2) = 1. Use numbers for h, k, a^2, and b^2.
Ellipse Properties
Center (h, k):
Semi-Major Axis (a):
Semi-Minor Axis (b):
Orientation:
Ellipse Visualization
Understanding Ellipse Properties
An ellipse is a closed curve where the sum of the distances from any point on the curve to two fixed points (foci) is constant. In the standard form equation ((x-h)^2/a^2) + ((y-k)^2/b^2) = 1:
- Center (h, k): The midpoint of the ellipse.
- Semi-major axis (a): Half of the longest diameter.
- Semi-minor axis (b): Half of the shortest diameter.
- Orientation: Horizontal if a > b, vertical if b > a.
This calculator helps you quickly determine these properties from the equation and visualize the ellipse. Explore different equations to see how the properties change!