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Worksheet: Conversion between Radians and Degrees

Q1:

Convert πœ‹ 3 to degrees.

  • A 1 . 0 4 7 ∘
  • B 1 2 0 ∘
  • C 3 0 0 ∘
  • D 6 0 ∘

Q2:

Convert 0.5 rad to degrees giving the answer to the nearest second.

  • A
  • B
  • C
  • D
  • E

Q3:

Convert βˆ’ 3 . 3 r a d to degrees giving the answer to the nearest second.

  • A 3 5 8 5 6 β€² 5 8 β€² β€² ∘
  • B 3 5 9 5 6 β€² 3 3 β€² β€² ∘
  • C 1 2 6 ∘
  • D 1 7 0 5 5 β€² 2 6 β€² β€² ∘
  • E 3 4 1 5 0 β€² 5 2 β€² β€² ∘

Q4:

A gymnast circles a pommel horse by an angle of . Find the angle in radians giving the answer to one decimal place.

Q5:

Find the values of two angles in degrees given their sum is 7 4 ∘ and their difference is πœ‹ 6 . Give the answer to the nearest degree.

  • A 6 2 ∘ , 2 2 ∘
  • B 6 2 ∘ , 1 2 ∘
  • C 6 2 ∘ , 3 2 ∘
  • D 5 2 ∘ , 2 2 ∘

Q6:

Find the values of two angles in radians given their sum is and their difference is . Give the answer to two decimal places.

  • A 0.47 rad, 0.99 rad
  • B 0.3 rad, 1.17 rad
  • C 0.47 rad, 1.17 rad
  • D 0.3 rad, 0.99 rad

Q7:

Convert 1 4 2 4 6 β€² 4 8 β€² β€² ∘ to radians giving the answer to three decimal places.

Q8:

The shadow of a sundial changes at a rate of 1 5 ∘ every hour. Find the angle of the shadow’s position 5 hours after sunrise giving the answer in radians to three decimal places.