Arc Measures Worksheet

Arc Measures Worksheet

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

1. What is the measure of a central angle that subtends a minor arc of 75 degrees?

2. An inscribed angle subtends an arc of 120 degrees. What is the measure of the inscribed angle?

3. The measure of an arc is equal to the measure of its corresponding   angle.

4. An angle whose vertex is on a circle and whose sides are chords of the circle is called an   angle.

5. A semicircle measures exactly   degrees.

6. In circle O, if the measure of arc AB is 80 degrees, what is the measure of the central angle ∠AOB?

7. If an inscribed angle measures 45 degrees, what is the measure of the intercepted arc?

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

9. An inscribed angle that intercepts a semicircle is a right angle.

10. In a circle, two chords intersect inside the circle. One chord divides the other into segments of length 6 units and 8 units. If the first chord has a total length of 15 units, find the lengths of the segments into which the second chord is divided.