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March 25, 2017

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The minute hand of a clock is 6 inches long. What distance does its tip move in 16 minutes?

  • trig - ,

    the radian angle for 16 minutes
    = (16/60)(2π) = 8π/15 radians

    arclength = rĂ˜
    = 6(8π/15) = 16π/5 inches or 10.053 inches

    or

    one circumference = 2π(6) = 12π
    so the fraction of rotation = 16/60

    distance covered = (16/60)(12π = 16π/5

  • trig - ,

    25.133

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