4.4 Angles in a circle

Angles in a circle

In a circle, chords, angles, inscribed angles and arc length all have special relationships with each other. This lesson focuses on exploring the relationships among inscribed angles in a circle as well as those of inscribed angle and central angle with the same arc. We will make use of the relationships to solve related questions in this lesson.


  • 1.
    In the following diagram, the radius is 24 cm and \angleBDC is 75°.

  • 3.
    Given \angleBAE = 44.5° and \angleADC = 64.27°.

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Angles in a circle

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