​Area of Regular Polygons

About Geometry Worksheet Assignment 8.9:                   

 

Assignment 8.9 is an introduction to areas of regular polygons.

 

Prerequisite Skills:  Find area of triangles (Assignment 8.6).  Write and solve trigonometric equations (Assignment 7.16).

                                                                                                                                                                                      

 

Theorems:   The formula for the area of a regular polygon is:

                                                           1

                             A =  2  asn  (A is Area; a is the apothem (height of each triangle); s is the length of a side; n is the number of sides) 

 

                            The standard formula for the area of a regular polygon is:

                                                           1

                             A =  2  ap  (A is Area; a the apothem (height of each triangle); p is the perimeter of the regular polygon)