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March 29, 2017

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How far does the tip of the minute hand of a clock move in 100 minutes if the hand is 3.3 inches long?

  • math - ,

    circumference = 2(3.3)π = 6.6π inches

    Two interpretations for "how far does the tip ... move"
    distance relative to its original position, it would be in the same place where it was 40 minutes ago

    = (40/60)(6.6π) = (2/3)(6.6π) = 4.4π inches along the arc length

    If you mean , one rotation + 2/3 of another (from 100 minutes)
    distance = (5/3)(6.6π) = 11π inches

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