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Calcimator

Ellipse Calculator

Calculate ellipse area, perimeter, and eccentricity from semi-major and semi-minor axes.

Inputs

units
units

Results

Area

47.12

Perimeter25.53
Eccentricity0.8

Area

47.12

How to Use This Calculator
  1. Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
  2. Semi-Major Axis (a) — Length of the semi-major axis. Accepts values from 0.1 units to 10,000 units (default: 5 units).
  3. Semi-Minor Axis (b) — Length of the semi-minor axis. Accepts values from 0.1 units to 10,000 units (default: 3 units).
  4. Once all inputs are set, review your results in the Results panel. Here's what each output means:
  5. Area — shown as a numeric value. This is the primary result of this calculator.
  6. Perimeter — shown as a numeric value.
  7. Eccentricity — shown as a numeric value.
  8. Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.
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Formula

Area = πab, Perimeter ≈ π(3(a+b) - √((3a+b)(a+3b)))

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