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25 April, 06:13

What is the arc length when the central angle measures 60 degrees and the radius is 15 inches giving in terms of 3.14

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  1. 25 April, 06:42
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    To solve this problem, we make use of the formula for arc length:

    s = r θ

    where the variables are,

    s = the length of the arc = unknown value

    r = radius of the circle = 15 inches

    θ = the angle in radians = 60 degrees

    Since the given angle is in units of degrees, therefore we need to convert this first into rad:

    θ = 60° (π / 180°)

    θ = π / 3

    Going back to the arc length formula:

    s = 15 inches (π / 3)

    s = 5 π inches

    Answer:

    5 π inches
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