Find the number of diagonals of a dodecagon (12 sides).(A line segment connecting any two nonadjacent vertices is called a diagonal of the polygon. )
A)24
B)12
C)144
D)132
E)54

Question

Quizplus · Accepted Answer

A dodecagon has 12 sides. The formula to find the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides. For a dodecagon, n=12, so the number of diagonals is 12(12-3)/2 = 12*9/2 = 54.

Find the Number of Diagonals of a Dodecagon (12 Sides)