SOLUTION: how many diagonal can be drawn in 12-gon polygon

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Question 243894: how many diagonal can be drawn in 12-gon polygon
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the name of the polygon is dodecagon.

click on the following link to see the source of this information.

Naming of Polygons

The formula would be:

d = n*(n-3)/2 where

d = number of diagonals
n = number of sides of the polygon

Example:

number of diagonals in a hexagon would be:

(6 * 3) / 2 = 9

I verified this is correct.

For your 12 sides figure, the number of diagonals would be:

(12 * 9) / 2 = 108/2 = 54