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13 August, 07:51

Convert the angle in degrees to radians. Express your answer as a multiple of π.

25°

I did this ...

But my online homework says it's incorrect ...

+5
Answers (1)
  1. 13 August, 10:20
    0
    Converting 25 degrees to radians:

    180° = π radians.

    1° = π/180 radians.

    25° = (π/180 radians) * 25

    = (25/180) * π radians.

    Leaving the answer in terms of π, 25/180 = 5/36

    = (25/180) * π radians = (5/36) π radians or ≈ 0.1389π radians.

    Therefore 25° = (5/36) π radians or ≈ 0.1389π radians

    I hope this explains it.

    I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

    = (5/36) π radians or ≈ 0.1389π radians
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