Arc length and the area of a sector

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Jun measures the crust of a pizza slice. Arc CD of circle O is 4π cm long, and ∠COD = 60°. What is the radius of circle O, in cm?

   12
2. 2.

   Kira measures a curved stripe on a round clock. Arc CD of circle O is 5π cm long, and ∠COD = 150°. What is the radius of circle O, in cm?

   6
3. 3.

   Luz measures trim along part of a drum's rim. Arc CD of circle O is 6π cm long, and ∠COD = 54°. What is the radius of circle O, in cm?

   20
4. 4.

   Noah sews one wedge of a round rug. Circle O has radius 6 in., and sector COD has area 10π square inches. What is the measure of ∠COD, in degrees?

   100
5. 5.

   Pia keeps one big piece of a round pizza. Circle O has radius 4 in., and sector COD has area 8π square inches. What is the measure of ∠COD, in degrees?

   180
6. 6.

   Tala frosts most of the top of a small round cake. Circle O has radius 3 in., and sector COD has area 6π square inches. What is the measure of ∠COD, in degrees?

   240
7. 7.

   Zee trims the crust of a pizza slice. Circle O has radius 6 cm; arc CD is 4π cm long. What is the area of sector COD in square cm, in terms of π?

   12π
8. 8.

   Ari edges a rug wedge with ribbon. Circle O has radius 10 cm; arc CD is 3π cm long. What is the area of sector COD in square cm, in terms of π?

   15π
9. 9.

   Bo cuts a wedge of a round cake. Circle O has radius 9 cm; arc CD is 5π cm long. What is the area of sector COD in square cm, in terms of π?

   45π/2
10. 10.

    Esme paints one wedge of a round plate. Circle O has radius 8 cm; arc CD is 2π cm long. What is the area of sector COD in square cm, in terms of π?

    8π