Central angles and arc measures

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Bo draws a clock face with the hands at 5:00. On circle O, ∠COD = 150°. What is the measure of major arc CFD, in degrees?

   210
2. 2.

   Esme paints one thin slice on a round plate. On circle O, ∠COD = 48°. What is the measure of major arc CFD, in degrees?

   312
3. 3.

   Jun marks one big piece on a round cake. On circle O, ∠COD = 110°. What is the measure of major arc CFD, in degrees?

   250
4. 4.

   Kira colors a spinner with four slices. Radii OC, OD, OF and OG cut circle O into four slices. What is the measure of arc GC, in degrees?

   205
5. 5.

   Luz cuts a round pizza into four unequal slices. Radii OC, OD, OF and OG cut circle O into four slices. What is the measure of arc GC, in degrees?

   80
6. 6.

   Milo sews a round rug from four wedges of cloth. Radii OC, OD, OF and OG cut circle O into four slices. What is the measure of arc GC, in degrees?

   210
7. 7.

   Noah lays four wedges of watermelon back into a round. Radii OC, OD, OF and OG cut circle O into four slices. What is the measure of arc GC, in degrees?

   80
8. 8.

   Pia draws a clock face and one straight line through its center. CD is a diameter of circle O, and ∠COF = 47°. What is the measure of arc FD, in degrees?

   133
9. 9.

   Ren cuts a round pizza in half, then cuts one half again. CD is a diameter of circle O, and ∠COF = 115°. What is the measure of arc FD, in degrees?

   65
10. 10.

    Zee paints a stripe across a drum top through its center, then one more line. CD is a diameter of circle O, and ∠COF = 157°. What is the measure of arc FD, in degrees?

    23