Examples, solutions, videos, worksheets, games and activities to help Grade 9 and Geometry students learn about central angles and arcs.
The following diagrams show the relationships between the Angles and their Arcs: Central Angles, Inscribed Angles, Internal Angles and External Angles. Scroll down the page for more examples, explanations and solutions.
Arcs and Central Angles
Students learn the definition of a central angle, and that the measure of a central angle is equal to the measure of its intercepted arc.
This video gives an introduction into central angles, circle arcs, and angle measurement. It explains the difference between a major arc and a minor arc. A central angle always form a minor arc which is less than 180 degrees in angle measure. The major arc is greater than 180 degrees. A semicircle has an intercepted arc of exactly 180 degrees. It contains plenty of examples and practice problems.
How to Find the Measure of a Central Angle when Given its Corresponding Arc Degree?
How to Find a Central Angle?
How to Find a Central Angle When Given a Radius and a Tangent?
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