Curves / Calculator 23

Ellipse Perimeter Estimate

Ramanujan's first perimeter approximation gives a convenient estimate without evaluating an elliptic integral.

Your inputs

Ellipse Perimeter Estimate

Curves · 2 inputs

Calculated result41.386264cm
Example result
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How to use this calculator

  1. Enter first semi-axis in cm.
  2. Enter second semi-axis in cm.
  3. Select Calculate and keep the output unit with the answer.

Before you use the answer

Start with a dimensioned sketch and label the units beside every measurement. Distinguish the outer edge from an internal opening, and distinguish a radius from a diameter. A geometric model is most useful when the shape actually matches the assumptions in the formula.

This is an approximation. Very elongated ellipses have larger approximation error.

Does it save my inputs?

No calculation history is stored by this website. The calculator works locally in your browser. See the privacy policy for hosting and contact details.

Why might a result be approximate?

Measurement uncertainty, ideal-model assumptions and floating-point rounding can all matter. Displaying more digits does not improve the original measurement.

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