What is a Central Angle? - Definition, Theorem & Formula

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

If a convex central angle of a circle is 70 degrees, what would the measurement of its reflex central angle be?

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1. If a you have a central angle CDF measuring 80 degrees, an inscribed angle CGF (where the vertex G is on the major arc) would measure at how many degrees?

2. The arc length of a central angle is 8 and the radius length is 5. What is the measurement in degrees of the central angle?

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About This Quiz & Worksheet

This quiz/worksheet will assess your knowledge of the various components of the central angle theorem. You will be quizzed on concepts that include convex angles' relations to circles and solving to find arc measurements.

Quiz & Worksheet Goals

This quiz tests you on:

  • Finding convex and reflex angles
  • Figuring inscribed angles
  • Solving for angles' measurements in relation to a given radius

Skills Practiced

  • Information recall - access the knowledge you gained regarding inscribed and subtended angles
  • Making connections - use understanding of concepts regarding circles and angles
  • Problem solving - use acquired knowledge to solve practice problems that figure arc length of a central angle

Additional Learning

To review concepts related to the central angle theorem, read over the brief lesson called 'What is a Central Angle? - Definition, Theorem & Formula.' The lesson will help students:

  • Describe a central angle
  • Visualize subtended and inscribed angles with real world examples
  • Understand reasoning behind the central angle formula
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