Radians and degrees

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 1.

   Milo turns a clock hand from 12 to 1: a turn of 30°. How many radians is 30°, in terms of π?

   π/6
2. 2.

   Pia turns a bike wheel three quarters of the way round: a turn of 270°. How many radians is 270°, in terms of π?

   3π/2
3. 3.

   Ren gives a spinner a small nudge: a turn of 40°. How many radians is 40°, in terms of π?

   2π/9
4. 4.

   Tala rolls a bike wheel of radius 4 inches. A point on the rim moves 9 inches along the circle. How many radians does the wheel turn?

   9/4
5. 5.

   Zee runs a finger along a drum's rim. Arc CD is 18 cm long, and the radius is 6 cm. How many radians is ∠COD?

   3
6. 6.

   Ari pipes icing along a cookie's edge. Arc CD is 14 cm long, and the radius is 4 cm. How many radians is ∠COD?

   7/2
7. 7.

   Bo lays string along a round clock's edge. Arc CD is 15 cm long, and the radius is 10 cm. How many radians is ∠COD?

   3/2
8. 8.

   Esme cuts a round pizza into 4 equal slices. That is 1/4 of the whole turn. How many radians is that angle at the center, in terms of π?

   π/2
9. 9.

   Jun cuts a round cake into 6 equal pieces. That is 1/6 of the whole turn. How many radians is that angle at the center, in terms of π?

   π/3
10. 10.

    Luz watches a clock hand move from 12 to 5. That is 5/12 of the whole turn. How many radians is that angle at the center, in terms of π?

    5π/6