Ellipse Calculator
Results
Area
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Perimeter
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Eccentricity
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Focal Distance
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About Ellipse
An ellipse is a closed curve that is symmetric about its center. It has two axes: the major axis (longer) and the minor axis (shorter).
Standard Equation
(x²/a²) + (y²/b²) = 1
Where a is the semi-major axis and b is the semi-minor axis.
Area
A = πab
Where a and b are the semi-major and semi-minor axes.
Perimeter (Approximation)
P ≈ 2π√((a² + b²)/2)
This is Ramanujan's approximation for the perimeter of an ellipse.
Eccentricity
e = √(1 - (b²/a²))
Where e is the eccentricity (0 ≤ e < 1).
Focal Distance
c = √(a² - b²)
Where c is the distance from the center to each focus.