Central Angle Worksheet

Central Angle Worksheet

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Define a central angle in your own words.

2. How is the measure of a central angle related to the measure of its intercepted arc?

3. If a central angle measures 75 degrees, what is the measure of its intercepted arc?

4. What is the sum of the central angles in a circle?

5. A central angle's vertex is at the   of the circle.

6. The two sides of a central angle are   of the circle.

7. In the circle below with center O, if ∠AOB = 120°, what is the measure of arc AB?

8. A circle has a radius of 10 cm. If a central angle intercepts an arc of length 5π cm, what is the measure of the central angle in radians?

9. A central angle is always smaller than an inscribed angle that intercepts the same arc.

10. The measure of a major arc is always greater than 180 degrees.