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Geometry worksheet to help students name central angles of regular polygons and calculate the measures of central angles in regular polygons.
Geometry worksheet to help students calculate the measures of central angles in regular polygons and to determine the number of sides in a polygon given the central angle measure.

Activity 3.8​

​Assignment 3.4

​Regular Polygons: Central Angles

 
Objectives
Name central angles of regular polygons.
 
Calculate the measures of central angles of regular polygons.
 
Calculate the number of sides in a regular polygon given its central angle measure.
 
 
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Assignment 3.9

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About Geometry Worksheet Assignment 3.4:     

 

Assignment 3.4 is an introduction to central angles of polygons. 

 

Prerequisite Skills:  Name angles (Assignment 2.4).  

 

Definitions:  The center of a regular polygon is a point that is equidistant from the vertices of the polygon.

 

                           A central angle of a regular polygon is an angle with its vertex at the center of the polygon and sides that contain consecutive vertices of the polygon.

                      

 

Theorem:  The measure of a central angle of a regular polygon is 360  (n is the niumber of sides in the polygon)

                                                                                                                n 

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