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Clock Formula

  1. Chandan Baranwal
    Chandan Baranwal
    Clock Formula -

    if time is given in the format HH:MM:SS and you have to find the exact angle between hour hand & minute hand then use the following formula -

    angle = 30*h - 11*m/2 - 11*s/120

    Now
    Case 1 : if magnitude of angle >= 180 degree

    exact angle between hour hand & minute hand = 360 - (magnitude of angle) degree

    Case 2 : if magnitude of angle < 180 degree

    exact angle between hour hand & minute hand = (magnitude of angle) degree
    Copyright # Chandan Baranwal


    ex - at time 11:05:14
    h= 11, m =5, s =14
    so, angle = 30*11 - 11*5/2 - 11*14/120 = 301.2166
    now angle = 301.2166 > 180
    so,
    exact angle between hour hand & minute hand = 360 - (magnitude of angle) = 360 - 301.2166 = 58.7834 degree
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