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Ellipse Equation Calculator

Ellipse equation and graph with center C(x₀, y₀) and major axis parallel to x axis. If the major axis is parallel to the y axis, interchange x and y during your calculation.

x0 :
y0 :
a :
b :

Ellipse Focus F:
Ellipse Focus F':
Ellipse Eccentricity :
Area :
Circumference :
Center to Focus Distance :

Ellipse calculator formulas:

   Ellipse Foci F X Coordinate  =  x₀ + √(a² - b²)
   Ellipse Foci F Y Coordinate  =  y₀
   Ellipse Focus F' X Coordinate  =  x₀ - √(a² - b²)
   Ellipse Focus F' Y Coordinate  =  y₀
   Ellipse Eccentricity  =  √(a² - b²) / a
   Distance from Center to Focus  =  √(a² - b²)

   Area = PI * Semi-Major Axis * Semi-Minor Axis
   Circumference = PI * √(a² + b²) * 2