Number of Diagonals in a Polygon - Concept

Concept Concept (1)

A diagonal is a segment that connects two non-consecutive vertices in a polygon. The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides. To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).

Sample Sample Problems (2)

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Number of Diagonals in a Polygon - Problem 1
Problem 1
How to determine the number of diagonals in a polygon when you know the number of sides.
Number of Diagonals in a Polygon - Problem 2
Problem 2
How to determine the number of sides in a polygon when you know the number of diagonals.