Ellipse Calculator - Multi-Tools

Ellipse Calculator

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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.

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