Great! Let's explore the relationship between the central angle and other angles in a circle, specifically the inscribed angle.

Relationship between Central Angle and Inscribed Angle:

1. Central Angle: As you've seen, the central angle is formed by two radii of the circle with the vertex at the center of the circle. The measure of the central angle is equal to the measure of its intercepted arc.

2. Inscribed Angle: An inscribed angle is formed by two chords in a circle that share a common endpoint on the circle. The vertex of the inscribed angle lies on the circumference of the circle.

3. Key Relationship:

   • The inscribed angle is always half the measure of the central angle that