# Central Angles and Arcs

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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?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 