Explore Ellipse Eccentricity
Discover how elongated an ellipse is by calculating its eccentricity. Enter the semi-major and semi-minor axes to visualize and understand the shape.
The longest radius from the center.
The shortest radius from the center.
Eccentricity Result:
The eccentricity (e) is:
Formula: $$e = \\sqrt{1 - \\frac{b^2}{a^2}}$$
Visualizing the Ellipse
Understanding Ellipse Eccentricity
Eccentricity (e) measures how much an ellipse deviates from a perfect circle. It's a value between 0 and 1:
- e = 0: Perfect circle.
- 0 < e < 1: Ellipse shape, closer to 0 means more circular.
- e close to 1: Highly elongated ellipse.
It's calculated using the formula: $$e = \sqrt{1 - \frac{b^2}{a^2}}$$, where a is the semi-major axis and b is the semi-minor axis. This tool helps you quickly find and visualize this property.
Learn more on Wikipedia.