Conic Sections Calculator

Your details

Choose the curve you want to analyse.
Whether the major axis lies along x (horizontal) or y (vertical).
For a circle this is the radius. For an ellipse, the longer half-axis. For a hyperbola, the semi-transverse axis.
The shorter half-axis for an ellipse. The semi-conjugate axis for a hyperbola.
x-coordinate of the center (or vertex for a parabola).
y-coordinate of the center (or vertex for a parabola).
Eccentricity eEllipse (e = 0.8000)
0.8

How much the curve deviates from a circle (0 = circle, <1 = ellipse, 1 = parabola, >1 = hyperbola)

Linear eccentricity c4
Semi-latus rectum l1.8
Focal parameter p2.25
Foci(-4, 0), (4, 0)
Vertices(-5, 0), (5, 0)
Directrixx = -6.25 and x = 6.25
Standard equationx^2/25 + y^2/9 = 1
0.8 e
Circle (e = 0)<0.001Ellipse (0 < e < 1)0.001-1Parabola (e = 1)1-1.001Hyperbola (e > 1)1.001+

This ellipse has eccentricity 0.8000, between 0 (circle) and 1.

  • Standard equation: x^2/25 + y^2/9 = 1
  • Foci at (-4, 0), (4, 0).
  • Semi-latus rectum is 1.8000 - the half-width of the conic measured through the focus parallel to the directrix.

Next stepFor area and perimeter, visit our Ellipse Calculator. Foci positions determine the reflective property used in optics.

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