Inscribed Angle

Definition of Inscribed Angle

Inscribed Angle is defined as the angle formed by two chords that meet at the same point on a circle.

More About Inscribed Angle

    The measure of an inscribed angle is half the measure of the central angle formed by using the same end points.

Video Examples: Geometry - Inscribed Angles


Example of Inscribed Angle

       example of      Inscribed Angle
    In the figure, AB and BC are two chords which meet at point B on the circle. So, ?ABC is an inscribed angle.

Solved Example on Inscribed Angle

Ques: Identify an inscribed angle.
     example of      Inscribed Angle

    Choices:
    A. ?ABO
    B. ?BOC
    C. ?BAC
    D. ?OCA
    Correct Answer: C

Solution:

    Step 1: An inscribed angle is the angle formed by two chords of a circle that meet at the same point on the circle.
    Step 2: Here, in the figure, ?BAC is an inscribed angle as two chords BA and CA meet at point A.
    Step 3: Therefore, ?BAC is an inscribed angle in the given figure.