Ellipse Calculator

This calculator will find either the equation of the ellipse from the given parameters or the center, foci, vertices (major vertices), co-vertices (minor vertices), (semi)major axis length, (semi)minor axis length, area, circumference, latera recta, length of the latera recta (focal width), focal parameter, eccentricity, linear eccentricity (focal distance), directrices, x-intercepts, y-intercepts, domain, and range of the entered ellipse. Also, it will graph the ellipse. Steps are available.

Type:

Center:$$$($$$

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First focus:$$$($$$

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Second focus:$$$($$$

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First vertex:$$$($$$

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Second vertex:$$$($$$

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First co-vertex:$$$($$$

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Second co-vertex:$$$($$$

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Length of the major axis:

If you have the length of the semi-major axis (a), enter its value multiplied by $$$2$$$ here.

Length of the minor axis:

If you have the length of the semi-minor axis (b), enter its value multiplied by $$$2$$$ here.

Eccentricity:

Area:

First directrix:

In any form you want: $$$y = -6$$$, $$$y = 2 x + 5$$$, etc.

Second directrix:

In any form you want: $$$x - 3 = 0$$$, $$$- 8 x + 7 y + 1 = 0$$$, etc.

First point:$$$($$$

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Second point:$$$($$$

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Third point:$$$($$$

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Fourth point:$$$($$$

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Vertical major axis (parallel to the y-axis)?

Horizontal minor axis (parallel to the x-axis)?

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

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Ellipse Calculator

Solve ellipses step by step