Angle Between Clock Hands Calculator Online
Calculating the angle between clock hands is crucial for understanding time measurement and mechanical clockwork. Our online calculator simplifies this process.
How to Use This Calculator
- Enter the hour (in 12-hour format) and minute.
- Click ‘Calculate’.
- See the result and interactive chart below.
Formula & Methodology
The angle between clock hands is calculated using the formula:
angle = |(hour * 30) - (minute * 6))|
Where hour is in 12-hour format and minute is in minutes.
Real-World Examples
Example 1
At 3:45, the angle between the hour and minute hands is:
|(3 * 30) - (45 * 6))| = 165 degrees
Example 2
At 6:00, the angle between the hour and minute hands is:
|(6 * 30) - (0 * 6))| = 180 degrees
Example 3
At 9:30, the angle between the hour and minute hands is:
|(9 * 30) - (30 * 6))| = 90 degrees
Data & Statistics
| Time (12hr) | Angle (degrees) |
|---|---|
| 12:00 | 0 |
| 1:00 | 30 |
| 2:00 | 60 |
| 3:00 | 90 |
| 4:00 | 120 |
| 5:00 | 150 |
| 6:00 | 180 |
| 7:00 | 210 |
| 8:00 | 240 |
| 9:00 | 270 |
| 10:00 | 300 |
| 11:00 | 330 |
Expert Tips
- At 6:00, the hands overlap, showing an angle of 180 degrees.
- Every hour, the minute hand moves 360/60 = 6 degrees, while the hour hand moves 360/12 = 30 degrees.
Interactive FAQ
Why does the angle change?
The angle changes because the hour and minute hands move at different speeds.
What is the maximum angle?
The maximum angle is 360 degrees, when the hands overlap again.
Time.gov and Timeanddate.com are great resources for understanding time measurement.