Radians and degrees

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Milo pipes icing on a cookie's edge. The circle has radius 5 cm; ∠COD = 72°. Using s = rθ, how long is arc CD in cm, in terms of π?

   2π
2. 2.

   Noah sews trim on a round rug. The circle has radius 8 cm; ∠COD = 150°. Using s = rθ, how long is arc CD in cm, in terms of π?

   20π/3
3. 3.

   Ren walks part way round a round pond. The circle has radius 14 m; ∠COD = 90°. Using s = rθ, how long is arc CD in meters, in terms of π?

   7π
4. 4.

   Tala rolls a bike wheel. An arc 12 cm long has a central angle of 3/2 radians. What is the radius, in cm?

   8
5. 5.

   Zee taps along a drum's rim. An arc 15 cm long has a central angle of 5/2 radians. What is the radius, in cm?

   6
6. 6.

   Ari measures a curve on a clock face. An arc 14 cm long has a central angle of 7/4 radians. What is the radius, in cm?

   8
7. 7.

   Bo measures icing on a cookie's edge. An arc 9 cm long has a central angle of 3/4 radians. What is the radius, in cm?

   12
8. 8.

   Jun walks a curved path. Arc CD is 4π m long on a circle of radius 15 m. How many degrees is ∠COD?

   48
9. 9.

   Kira cuts a wedge of a round cake. Arc CD is 3π in. long on a circle of radius 4 in. How many degrees is ∠COD?

   135
10. 10.

    Luz paints a curve on a big clock. Arc CD is 7π in. long on a circle of radius 12 in. How many degrees is ∠COD?

    105