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.

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

Identify an 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.

Related Terms for Inscribed Angle

  • Chord
  • Circle
  • Intercept
  • Point