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Today, 08:21

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What is the arc length when Θ = 4 pi over 7 and the radius is 5 cm?

20 pi over 7cm < - - - I think it's this one, but I'm not sure

4 pi over 7cm

2 pi over 7cm

24 pi over 7cm

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  1. Today, 10:28
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    The circumference of a circle is 2 pi * r

    Any part of the circle's circumference can be labeled as

    Arc length = (k / 2pi) * 2*pi * r

    The 2pi s will cancel out and you are left with

    Arc Length = k * r

    In this case, k is in radians.

    Givens

    k = 4 pi / 7

    r = 5 cm

    Solve

    Arc Length = 4*pi * 5 / 7 = 20 * pi / 7

    Ans you are correct.
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