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Polygon Diagonals Calculator

Count the diagonals of a polygon and the triangles made by triangulating it.

Inputs

Results

Diagonals20count
Triangles from triangulation6count

Chart

Not what you need? Search by intent

Describe what you want to find — “number of diagonals in polygon” — and jump to the right calculator.

How to use the polygon diagonals calculator

Count the diagonals of a polygon and the triangles made by triangulating it. Enter number of sides in the field above; the diagonals, triangles from triangulation are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “number of diagonals in polygon”, “diagonals of octagon”, “polygon triangulation”, “calculate polygon diagonals”, “find diagonals”.

Formula

Diagonals (count) = n × (n-3) / 2
Triangles from triangulation (count) = n-2

Variables

  • n — Number of sides

Worked example

With number of sides = 8, the calculator gives diagonals ≈ 20 count; triangles from triangulation ≈ 6 count.

Frequently asked questions

What is the polygon diagonals calculator used for?

Count the diagonals of a polygon and the triangles made by triangulating it. It helps with questions such as “number of diagonals in polygon”, “diagonals of octagon”, “polygon triangulation”.

What is the formula for the polygon diagonals calculation?

Diagonals (count) = n × (n-3) / 2. Triangles from triangulation (count) = n-2. Here n is number of sides.

What inputs do I need for the polygon diagonals calculator?

You need number of sides. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the polygon diagonals calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the polygon diagonals result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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