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Geometry worksheet in which students develop and apply formulas to find areas of regular polygons.
Geometry worksheet to help students use trigonometry to calculate apothems and apply the formula to find areas of regular polygons.

Activity 3.8​

Assignment 3.9

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​Assignment 8.9

​Area of Regular Polygons

 
Objective
Develop and apply a formula for areas 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) 

                                 

                                 

 

 

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