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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?

how is it calculated?*

  • math -

    1 rotation = 360° = 2π radians

    at 7:00 the minute hand is on the 12 (straight up) and the hour hand has moved 7/12 of a rotation

    (7/12)(2π)
    = 7π/6 radians ---> or 210°

    so the smaller angle between the two hands
    = 2π - 7π/6
    = 5π/6 radians ------> 150°

  • math -

    Lo

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