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16 September, 01:02

Find the length of arc AC if AB is 12ft and has a degree of 60

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  1. 16 September, 01:20
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    S = r theta

    Where s = arc length

    R = radius

    Theta = angle measure in radians.

    If AB is the radius

    S = 12 * 60 (pi/180)

    S = 12 * pi/3

    S = 4pi ft

    S = 12.56 ft

    If AB is the diameter

    S = 6 * 60 (pi/180)

    S = 6 * pi/3

    S = 2pi ft

    S = 6.28 ft

    The (pi/180) is the conversion factor from degrees to radians.
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