Clock Angle Calculator
Enter Time
Hour
Min
Sec
Results
Formulas Used
- Hour Hand Angle = (hour + minute/60) × 30°
- Minute Hand Angle = minute × 6°
- Second Hand Angle = second × 6°
- Angle Between Hands = |Hour Angle - Minute Angle|
Note: The smaller angle (≤ 180°) is always shown
Hour-Minute Angle
-
degrees
Minute-Second Angle
-
degrees
Hour-Second Angle
-
degrees
Time
-
24-hour format
About Clock Angles
Clock angles are a fascinating application of geometry. Key points:
- The hour hand moves 30° per hour (360° ÷ 12)
- The minute hand moves 6° per minute (360° ÷ 60)
- The second hand moves 6° per second (360° ÷ 60)
- Hands overlap approximately every 65 minutes