Ellipse calculator

Ellipse Calculator is an online math tool that shows how to find the center, minor and major axes, eccentricity, focus and vertices. The calculator shows all steps on how to find unknown ellipse parameters.

Ellipse calculator

find center, axes, eccentricity, focus, vertices ...
help ↓↓ examples ↓↓

0123456789–/.√()C ✖

Input ellipse equation in

x^{2}

+

y^{2}

=

1

thumb_up 573 thumb_down

Get Widget Code

working...

Hire MATHPORTAL experts to do math homework for you.

Prices start at $3 per problem.

Ellipse formulas

c = a^{2} - b^{2}

Linear Eccentricity

e = \frac{c}{a}

Eccentricity

F_{1} (c, 0), F_{2} (- c, 0)

Foci

V_{1} (a, 0), V_{2} (- a, 0)

Vertices

C_{1} (0, a), C_{2} (0, - a)

Co-vertices

Examples

ex 1:

Determine the coordinates of the foci of the ellipse

\frac{x ^{2}}{9} + \frac{y ^{2}}{16} = 1

ex 2:

Find the coordinates of the foci of the ellipse given by

\frac{4 ( x - 3 ) ^{2}}{12} + \frac{8 ( y + 6 ) ^{2}}{20} = 1

ex 3:

Find the major axis of the ellipse given by

4 x^{2} + 9 y^{2} = 36

Related calculators

Circle calculator

Circle through three points

Circle line intersection

Find more worked-out examples in our database of solved problems.

Search our database with more than 300 calculators

452 861 664 solved problems