Eccentricity of Ellipse
An ellipse is a shape formed by a point moving in a way that its distance from a fixed point and a fixed line always have a certain relationship. This is such that the ratio of the distance from the point to the distance from the line remains constant, and this constant ratio is always less than one. The constant ratio is denoted by ‘e’ and is known as the eccentricity of the ellipse.
The eccentricity of an ellipse is a measure of how stretched or elongated the ellipse is. It is a dimensionless parameter that ranges from 0 to 1. Suppose the distance of the focus from the centre of the ellipse is ‘c’ and the distance of the end of the ellipse from the centre is ‘a’, then eccentricity of the ellipse is found by the formula:
e = c/a
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