Polygons / Calculator 30

Polygon Diagonal Count

Each vertex connects by diagonals to all except itself and its two neighbours. Dividing by two removes double counting.

Your inputs

Polygon Diagonal Count

Polygons · 1 input

Calculated result20diagonals
Example result
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How to use this calculator

  1. Enter number of vertices in count.
  2. 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 counts vertex-to-vertex diagonals of a simple polygon and does not count their intersection points.

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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