Starting Position
The hour hand of a clock starts at the 3 o'clock position. This can be visualized as the hand pointing directly to the right side of the clock.
Understanding a Revolution
A full revolution of the clock's hour hand represents a complete cycle around the clock face, which is equivalent to 12 hours. Each hour mark on the clock represents 30 degrees (360 degrees divided by 12 hours).
Calculating 1/4 of a Revolution
To find out where the hour hand stops after making 1/4 of a revolution:
- A full revolution = 360 degrees
- 1/4 of a revolution = 360 degrees / 4 = 90 degrees
This means the hour hand will move 90 degrees from its starting position.
Movement from the Starting Position
Starting at the 3 o'clock position, moving 90 degrees clockwise:
- From 3 o'clock to 4 o'clock: 30 degrees
- From 4 o'clock to 5 o'clock: Another 30 degrees (60 degrees total)
- From 5 o'clock to 6 o'clock: Another 30 degrees (90 degrees total)
Final Position
After moving 90 degrees clockwise from the 3 o'clock position, the hour hand will stop at the 6 o'clock position.
- The final position of the hour hand is at 6 o'clock.
In conclusion, if the hour hand starts at 3 and makes 1/4 of a revolution, it will stop at 6.