where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
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.
Previous
Assignment 3.9
Next
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