Eccentricity of Ellipse
An ellipse is a closed curve that is symmetric with respect to two perpendicular axes. It can also be defined as the set of all points in a plane, such that the sum of the distances from any point on the curve to two fixed points (called foci) is constant.
Elements of Ellipse
- Centre: The midpoint of both major and minor axes, specifying the ellipse’s centre.
- Major Axis: The longer diameter passing through the centre, determining the ellipse’s length.
- Minor Axis: The shorter diameter perpendicular to the major axis, establishing the ellipse’s width.
Eccentricity of Ellipse
Eccentricity of Ellipse: eccentricity is a measure that describes how much a conic section deviates from being circular. For any point on a conic section, eccentricity is defined as the ratio of the distance to a fixed point (focus) to the distance to a fixed line (directrix).
The eccentricity of an ellipse is the ratio of the distances from the centre of the ellipse to one of the foci and to one of the vertices of the ellipse. It is denoted using the letter, ‘e’ and is calculated as, e = c/a where a is the length of the semi-major axis and c is the distance from the centre to the foci.
In this article, we will learn about Ellipse, Eccentricity of Ellipse, Formula for eccentricity of ellipse and others in detail.
Table of Content
- What is an Ellipse?
- Eccentricity of Ellipse
- Eccentricity of Ellipse Formula
- Eccentricity of Ellipse- Diagram
- Eccentricity of Circle
- Eccentricity of Parabola
- Eccentricity of Ellipse
- Derivation of Eccentricity of Ellipse
- Eccentricity of Ellipse Examples
- Practice Problems on Eccentricity of Ellipse