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How Many Diagonals Does A 9 Sided Shape Have ?

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Jessica Mont. Profile
Jessica Mont. answered
27.
Oddman Profile
Oddman answered
In any convex polygon, you can count the number of diagonals as follows.

From each of the N vertices, you can draw a diagonal to the (N-3) non-adjacent vertices. Doing so, you will draw each diagonal twice. Thus, there are n(n-3)/2 diagonals in an n-sided shape.

9(9-3)/2 = 9*6/2 = 27 diagonals

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