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Ellipse Eccentricity and Focal Distance

Online ellipse eccentricity and focal distance. Semimajor must be at least semiminor.

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ellipse eccentricity and focal distance calculator online

Use ellipse eccentricity and focal distance online for semimajor, semiminor. Semimajor must be at least semiminor. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter semimajor. Set semiminor. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
semimajorMain input. Positive values. 5
semiminorOption. Positive values. 3

Calculation method

eccentricity = sqrt(1-(semiminor/semimajor)^2); focal_distance = sqrt(semimajor^2-semiminor^2) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply ellipse eccentricity and focal distance to the case below, keeping the displayed units and assumptions. Semimajor must be at least semiminor.

Ellipse Eccentricity and Focal Distance — worked case

Settings: semiminor: 3

Input:

5

Calculated result for these inputs:

Output:

{
  "eccentricity": 0.8,
  "focal_distance": 4
}

Choose the right tool

Choose number theory for exact integer relationships, distribution tools for a declared random model, and geometry tools for coordinates. A density is not a probability and a statistical model does not establish a real-world outcome.

Limitations and common mistakes

  • Semimajor must be at least semiminor. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use ellipse eccentricity and focal distance calculator online?

Enter semimajor. Set semiminor. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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