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Eccentricity of an Ellipse

Measure of how circular Ellipse is

The eccentricy of an ellipse is a measure of how nearly circular the ellipse. Eccentricity is found by the following formula
eccentricity = c/a
  • where c is the distance from the center to the focus of the ellipse
  • a is the distance from the center to a vertex


  • Formula for the Eccentricy of an Ellipse


    Picture and formula eccentricity of ellipse



    The special case of a circle's eccentricty
    A circle is a special case of an ellipse. Analogous to the fact that a square is a kind of rectangle, a circle is a special case of an ellipse. In terms of the eccentricty, a circle is an ellipse in which the eccentricty is zero.
    Practice Problems

    Use the formula for eccentricty to determine the eccentricity of the ellipse below
    Answer
    Practice problem for eccentricity
    Determine the eccentricity of the ellipse below
    Answer
    Finding eccentricity of ellipse
    What is the eccentricity of the ellipse in the graph below?
    Answer
    eccentricity of ellipse problem 3
    Determine the eccentricity of the ellipse below?
    Answer
    Practice Problem four eccentricity of ellipse