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Geometry worksheet to help students name central angles, arcs intercepted by central angles, and arcs determined by two points on a circle.
Geometry worksheet to help students name major arcs determined by central angles, minor and major arcs determined by two points on a circle, and semicircles.

Activity 3.8​

Assignment 3.9

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​Assignment 10.7

​Central Angles and Arcs

 
Objectives
Name central angles.
 
Name arcs intercepted by central angles.
 
Name minor and major arcs determined by two points on a circle.
 
Name semicircles.
 
 
 
 

About Geometry Worksheet Assignment 10.7:                 

 

Assignment 10.7 is an introduction to central angles and their intercepted arcs.

 

Prerequisite Skills:  Name angles, and name vertices and sides of angles (Assignment 2.4).  Identify radii and diameters of a circle (Assignment 10.1).

 

Definitions:  A central angle is an angle with vertex at the center of a circle and sides that are radii.

 

                           An arc is the locus of points on a circle that lie on a central angle or in its interior.

 

                           A major arc is the locus of points on a circle that lie on a central angle or in its exterior.

 

                          A semicircle is the locus of points on a circle that lie on a diameter or on the circle between the endpoints of the diameter.

 

 

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