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Ellipse calculator

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Ellipse calculator is an online math tool that shows how to find the center, minor and major axis, eccentricity, focus and vertices.

Ellipse calculator
help ↓↓ examples ↓↓
Ellipse equation is in
$x^2$
$+$
$y^2$
$=$
$1$
$(x$
$)^2$
$+$
$(y$
$)^2$
$=$
$1$
$x^2$
$+$
$y^2$
$=$
working...
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 $$ 4x^2 + 9y^2 = 36 $$
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