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.

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Ellipse Equation Calculator

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

   Area = PI * Semi-Major Axis * Semi-Minor Axis
   Circumference = PI * √(a * a - b * b) * 2