How is the angle between clock hands calculated?

The hour hand moves 0.5° per minute and the minute hand moves 6° per minute; the calculator finds the absolute difference between their positions (and the smaller of the two possible angles).

What's the angle at 3:00 exactly?

90° — the classic example, since the hour hand is at the 3 (90° from 12) and the minute hand is at the 12 (0°).

Why isn't the hour hand exactly on the hour mark most of the time?

The hour hand moves gradually between hour marks as minutes pass, not just at the top of each hour, which is why the angle calculation needs the minutes value too.

Clock Angle Calculator - CalculatorLabs.net

Clock Angle Calculator

On any analog clock, the hour and minute hands sweep around the face at different speeds, forming an angle between them that changes every second.

Hour (0-12)

Minute (0-59)

Instant Result

Angle Between Hands -

What Is a Clock Angle Calculator?

On any analog clock, the hour and minute hands sweep around the face at different speeds, forming an angle between them that changes every second. This calculator finds that angle for any time you enter — a classic geometry puzzle with a genuinely useful real-world formula.

How to Use This Clock Angle Calculator

Note the time you want to check, in hours (0–12 or 0–24) and minutes (0–59).
Enter the hour and minute into the fields above.
Click Calculate to get the angle between the hour and minute hands, in degrees.

Formula

Minute Hand Angle = minute × 6°
Hour Hand Angle = (hour mod 12) × 30° + minute × 0.5°
Angle Between Hands = |Hour Angle − Minute Angle|, taking the smaller of that value and 360° minus it

Worked Example

At 3:15, the minute hand points to 15 × 6 = 90°. The hour hand has moved past 3 o'clock: (3 × 30) + (15 × 0.5) = 90 + 7.5 = 97.5°. The angle between them is |97.5 − 90| = 7.5°.