Figure 701 : Clock - Angle between two hands
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Q01 |
- Diagram : Clock - Angle between two hands
- Q02 | - Angle of short hand
- Q03 | - Angle of minute hand
- Q04 | - Time when hour hand and minute hand coincide
- Q02 | - Angle of short hand
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 between two hands
Angle of short hand when time is 3:30
- Angle of short hand = (3 + 30/60)*30 = 105 degrees
- Angle of long hand = 30*6 = 180 degrees
- Angle between two hands = 180 - 105 = 75 degrees
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