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Worksheet

Radians and Degrees

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Show your work for each problem.

  1. 1.
    How many degrees are in a full circle?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    What is the key relationship between degrees and radians?
    1. a) radians
    2. b) radians
    3. c) radians
    4. d) radians
  3. 3.
    Convert to radians. Express your answer as a fraction of (e.g., pi/2).
  4. 4.
    Convert radians to degrees.
  5. 5.
    Convert to radians.
    1. a)
    2. b)
    3. c)
    4. d)
  6. 6.
    Convert to radians and simplify.
  7. 7.
    Convert radians to degrees.
  8. 8.
    Which of these is closest to 1 radian in degrees?
    1. a)
    2. b)
    3. c)
    4. d)
  9. 9.
    Convert radians to degrees and identify the quadrant.
  10. 10.
    Convert to radians. Express as a fraction of .
  11. 11.
    A wheel rotates at radians per second. How many complete rotations does it make per second?
    1. a)4
    2. b)2
    3. c)
    4. d)1
  12. 12.
    Convert to radians and find its reference angle.
  13. 13.
    Convert radians to degrees.
  14. 14.
    Convert to radians. Express your answer as a simplified fraction of .
  15. 15.
    Which angle is greater: radians or ?
    1. a)
    2. b)Cannot be determined
    3. c) radians
    4. d)They are equal
  16. 16.
    A pendulum swings through an arc of radians. What is this angle in degrees?
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/trigonometry/unit-circle/radians-and-degrees