Time & Calendar
Basic

Clock Hand Angle

Angle between the hour and minute hands of an analog clock.

Formula

θ=30H5.5M\theta = |30H - 5.5M|

Variables

HHour (0–11)
MMinutes

Example

3:15 ⇒ |30×3 − 5.5×15| = 7.5°

Did You Know?

The two hands line up only 22 times every 12 hours — never exactly at 6:30, as many people guess.