SOLUTION: How many diagonals are there in a regular polygon of n sides?

Algebra.Com
Question 491952: How many diagonals are there in a regular polygon of n sides?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many diagonals are there in a regular polygon of n sides?
-----------------
There are n vertices
# of line segments determined is nC2 = (n/2)(n-1)
---
n of those line segments are sides of the polygon
---
Ans: There are (n/2)(n-1) - n diagonals
=================
Cheers,
Stan H.

RELATED QUESTIONS

How many diagonals can be constructed in a regular polygon of 100... (answered by ikleyn)
How many sides are there in a polygon if the number of sides equals the number of... (answered by Edwin McCravy,Theo,ikleyn)
If a polygon of n sides has (n/2)(n - 3) diagonals, how many sides will a polygon with 65 (answered by ikleyn)
how many sides are there in a regular polygon with an exterior angle of 30 degrees (answered by stanbon)
How many sides are in a polygon with 464... (answered by solver91311)
In a polygon of 12 sides, how many diagonals are there? solve with the help of... (answered by ramkikk66)
The number of diagonals of a polygon is 275. How many sides are... (answered by ramkikk66)
if polygons of n sides has 1/2n(n-3) diagonals, how many sides will a polygon with 65... (answered by MathLover1)
If a regular polygon has a total of nine diagonals, how many sides does it... (answered by MathLover1)