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Dr. Keh-Gong Shih


Figure 701 : Clock - Angle between two hands


  • Q01 | - Diagram : Clock - Angle between two hands
  • Q02 | - Angle of short hand
  • Q03 | - Angle of minute hand
  • Q04 | - Angle of short hand at each hour


Q01. Diagram : Angle between two hands


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Q02. Angle of hour hand

Definition
  • Each hour = 360 degrees/12
  • Angle of hour hand relative to 12 o'clock
    • 1 o'clock = 30 degrees
    • 2 o'clock = 60 degrees
    • 3 o'clock = 90 degrees
    • 4 o'clock = 120 degrees
    • 5 o'clock = 150 degrees
    • 6 o'clock = 180 degrees

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Q03. Angle of minute hand

Definition
  • Each minute = 360 degrees/60 = 6 degrees
  • Angle of minute hand relative to 12 o'clock position
    • At 1 minute = 6 degrees
    • At 15 minute = 90 degrees
    • At 30 minute = 180 degrees
    • At 45 minute = 270 degrees

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Q04. Angle of short hand at 4:00

Answer
  • 4*30 = 120 degrees

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