Enter the distance from the center to the focus and the distance from the center to the vertex to determine the eccentricity of an ellipse.

Eccentricity Formula

The following formula is used to calculate the eccentricity of a shape.

e = c / a 
  • Where e is the eccentricity
  • c is the distance from the center to the focus point
  • a is the distance from the center to the vertex

To calculate eccentricity, divide the distance from the center to the focus point by the distance from the center to the vertex.

Eccentricity Definition

Eccentricity is defined as the ratio of the distance from the center to a focus point to the distance from the center to the vertex.

Eccentricity Example

How to calculate eccentricity?

  1. First, measure the distance c.

    C is the measure of the distance from the center of the ellipse to the focus point.

  2. Next, measure the distance a.

    A is the measure of the distance between the center to the vertex.

  3. Finally, calculate the eccentricity.

    Divide the value c by the value a to calculate the eccentricity of the shape.

FAQ

What is eccentricity?

Eccentricity is a measure of the ratio of the locus of a point focus and the distance on the line to that point. In other words, it’s a measure of how much a particular shape, typically an ellipse, varies from a perfect circle. The greater the eccentricity the greater the variation and more oval shape it is.