** 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