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Geometry for School and Home
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.