Math

The minute hand of a clock is 6 inches long and moves from 3 o clock to 5 o clock. how far does the tip of the minute hand move. Express your answer round to two decimal places. Can you solve this?

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  1. Each hour is equal to 30° or π/6 radians

    So to go from 3:00 to 5:00 would take 2π/6 or π/3

    the arclength = rØ
    = 6(π/3) or 2π inches

    = appr 6.28 inches

    or

    circumference = 2π(6) = 12π
    the time from 3:00 to 5:00 represents 1/6 of a rotation = (1/6)(2π) = 2π = appr 6.28 inches as above

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    posted by Reiny

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