Hyperbola Equation
Free Hyperbola Equation calculator with clear step-by-step results.
About Hyperbola Equation
Shape measures of a hyperbola from its axes.
Formula
Formula
c = √(a² + b²); e = c/a
Worked example
With the default values below, Hyperbola Equation returns Focal Distance of 5.000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- a (transverse)minimum 0
- 4
- b (conjugate)minimum 0
- 3
Results
- Focal Distance
- 5.000
- Eccentricity
- 1.2500
- Asymptote Slope
- 0.7500
Step by step
- 1Values used
- 2Formula
- 3Focal Distance= 5.000
- 4Eccentricity= 1.2500
- 5Asymptote Slope= 0.7500
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
Shape measures of a hyperbola from its axes.
Why does this matter?
Asymptotes have slopes ±b/a.