Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

Ellipse calculator

google play badge app store badge

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 ↓↓
Ellipse equation is in
$x^2$
$+$
$y^2$
$=$
$1$
$(x$
$)^2$
$+$
$(y$
$)^2$
$=$
$1$
$x^2$
$+$
$y^2$
$=$
working...
Polynomial Calculators
Rational Expressions
Radical Expressions
Solving Equations
Quadratic Equation
2D Shapes
3D Shapes
Analytic Geometry
Complex Numbers
Systems of equations
Matrices
Calculus Calculators
Sequences & Series
Trigonometry
Numbers
Statistics and probability
Financial Calculators
Other Calculators

Hire MATHPORTAL experts to do math homework for you.

Prices start at $3 per problem.

Ellipse formulas
ellipse showing all elements
$$ c = \sqrt{a^2 - b^2} $$
Linear Eccentricity
$$ e = \dfrac{c}{a} $$
Eccentricity
$$ F_1\left(c,0\right) ~~ , ~~ F_2\left(-c,0\right) $$
Foci
$$ V_1\left(a,0\right) ~~ , ~~ V_2\left(-a,0\right) $$
Vertices
$$C_1\left(0,a\right) ~~ , ~~ C_2\left(0,-a\right) $$
Co-vertices
examples
example 1:ex 1:
Determine the coordinates of the foci of the ellipse $$ \frac{x^2}{9} + \frac{y^2}{16} = 1 $$
example 2:ex 2:
Find the coordinates of the foci of the ellipse given by $$ \frac{4(x-3)^2}{12} + \frac{8(y+6)^2}{20} = 1 $$
example 3:ex 2:
Find the major axis of the ellipse given by $$ 4x^2 + 9y^2 = 36 $$
Find more worked-out examples in the database of solved problems..
Search our database with more than 250 calculators
439 063 727 solved problems