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31 July, 18:16

Trigonometry

Arc Length and Radian Measure

Solve the following problem.

Convert 16 * to radians.

+4
Answers (1)
  1. 31 July, 18:35
    0
    You can see that

    2

    π

    radians becomes one revolution when you use the arc length formula:

    s

    =

    r

    θ

    Let

    θ

    =

    2

    π

    . That means:

    s

    =

    C

    =

    2

    π

    r

    which is the formula for the full circumference of a circle. Since

    2

    π

    radians is one revolution:

    16

    rev

    *

    (

    2

    π

    rad

    1

    rev

    )

    =

    32

    π

    rad
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