SOLUTION: how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?

Algebra ->  Polygons -> SOLUTION: how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?      Log On


   

Question 230295: how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how many diagonals does a polygon with 32 sides have? and how do you figure out this type of problem?
-----------------
You have 32 vertices.
It takes 2 vertices to form a diagonal.
But 2 of those vertex pairs determine sides of the polygon.
-----
So the number of diagonals is 32C2 - 2 = (32*31/1*2) - 2 = 494 diagonals.
===========================================
Cheers,
Stan H