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Math Help - Clock Angle Question

  1. #1
    Senior Member sakonpure6's Avatar
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    Clock Angle Question

    A grandfather clock shows a time of 7 o’clock. What is the exact radian measure of the angle
    between the hour hand and the minute hand?
    From 12 to 6 that is pi radians and from 6 to 7 that is pi/3 radians of pi/2 = pi/6. So in total the angle is: 7pi/3 radians? (going clock wise)
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  2. #2
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    Re: Clock Angle Question

    No. What proportion of the circle is swept out between the two hands?
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    Re: Clock Angle Question

    7/12 of the circle ?
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    Re: Clock Angle Question

    Yes (or 5/12 in the other angle), so surely it's 7/12 of 2pi...
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    Re: Clock Angle Question

    oh okay, thank you!!
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