Arc length and the area of a sector

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Kira glues trim along part of a drum's rim. Circle O has diameter 20 cm, and ∠COD = 54°. How long is arc CD in cm, in terms of π?

   3π
2. 2.

   Luz draws a curved line along the edge of a round plate. Circle O has diameter 16 cm, and ∠COD = 45°. How long is arc CD in cm, in terms of π?

   2π
3. 3.

   Milo walks along the curved edge of a round pond in the park. Circle O has diameter 30 m, and ∠COD = 84°. How long is arc CD in meters, in terms of π?

   7π
4. 4.

   Pia sews one wedge of a round rug in a new color. Circle O has diameter 12 in.; sector COD has a 100° angle. What is its area in square inches, in terms of π?

   10π
5. 5.

   Ren cuts a thin wedge from a round cake. Circle O has diameter 18 in.; sector COD has a 40° angle. What is its area in square inches, in terms of π?

   9π
6. 6.

   Tala plants flowers in one wedge of a round flower bed. Circle O has diameter 24 ft; sector COD has a 50° angle. What is its area in square feet, in terms of π?

   20π
7. 7.

   Zee jogs a curved path by a round pond: a 50° arc of a circle with radius 7 meters. Using 3.14 for π, how long is the path in meters, to the nearest tenth?

   6.1
8. 8.

   Ari rides a curved bike path: a 70° arc of a circle with radius 12 feet. Using 3.14 for π, how long is the path in feet, to the nearest tenth?

   14.7
9. 9.

   Bo paints a curved line on a round clock: a 110° arc of a circle with radius 9 cm. Using 3.14 for π, how long is the path in cm, to the nearest tenth?

   17.3
10. 10.

    Esme skates the curved edge of a skate bowl: a 48° arc of a circle with radius 15 feet. Using 3.14 for π, how long is the path in feet, to the nearest tenth?

    12.6