THE AREA OF A POLYGON  
Section: Geometry  
1. THE AREA OF A POLYGON  
In
order to work out the area of a regular polygon we need to know the
following:


1. In
the following window point R is found in the middle of
one of the sides. Move point T to check that the
apothem has the property of being the shortest segment
3. Notice that in this example the area of triangle ODE is: area of triangle = (side·apothem)/2 as the base = the side of the polygon and the height = the apothem. 

4.
Note that to work out
the area of a polygon we need to find the area of ODE and then multiply
it by 6. Therefore the complete area is:
area of
polygon =6·(side·apothem)/2=(6·side·apothem)/2= 
Agustín
Muñoz Núñez 

Spanish Ministry of Education. Year 2001  
Except where otherwise noted, this work is licensed under a Creative Common License