Number of Diagonals in a Polygon

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How many diagonals are there in a polygon?

Depends on the number of sides the polygon has.

The number of diagonals in a polygon depends on the number of sides it has. To compute the number of diagonals, the formula D = n(n-3)/2 is used, where D is the number of diagonals and n is the number of sides in the polygon. An n-sided polygon has n vertices, from which can be drawn n-3 diagonals, but you must divide the expression by 2 because each diagonal would be drawn twice.


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