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Ellipse Calculator

Find an ellipse's area, exact perimeter, eccentricity and foci from its two semi-axes.

Area

47.1238898

Perimeter (circumference)
25.52699886
Eccentricity
0.8
Distance from center to each focus
4

Show the work

  1. Area: π × the two semi-axes

    A = π × a × b

    π × 5 × 3 = 47.1238898

How it works

Area = πab; perimeter = 4a E(e) computed exactly with the arithmetic–geometric mean; e = √(1 − b² ÷ a²); focal distance = √(a² − b²)

Questions

How does the ellipse calculator work?
Area = πab; perimeter = 4a E(e) computed exactly with the arithmetic–geometric mean; e = √(1 − b² ÷ a²); focal distance = √(a² − b²).
What do I need to enter?
Semi-major axis (a), Semi-minor axis (b), Units. Optional fields can be left blank.

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