Conic Sections Calculator
MathCalculate the eccentricity, linear eccentricity, semi-latus rectum, and focal parameter of a circle, ellipse, parabola, or hyperbola.
Eccentricity
How much the conic deviates from a circle.
Linear Eccentricity (c)
4.0000
Distance from center to focus.
Semi-Latus Rectum
1.8000
Half the chord through the focus, perpendicular to the main axis.
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Frequently Asked Questions
What is eccentricity across the different conic types?
Eccentricity is 0 for a circle, always exactly 1 for any parabola, between 0 and 1 for an ellipse, and greater than 1 for a hyperbola. It is a single number that tells you which type of conic section you have and how stretched it is.
What does parameter a mean for each shape?
For a circle, a is the radius. For a parabola, a is the distance from vertex to focus. For an ellipse or hyperbola, a is the semi-major or transverse axis length. Switching conic types changes what a physically represents.
How are these four shapes related?
All four, circle, ellipse, parabola, and hyperbola, are conic sections, the curves formed by slicing a cone at different angles. They share a common mathematical framework, which is why properties like eccentricity and semi-latus rectum apply meaningfully to all of them.
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