Interactive resource
Clock-hand angles
Geometry. Minute hand 6°/min, hour hand 0.5°/min — find the angle between them. Free interactive GeoGebra resource — adjust parameters in the browser.
Overview
Minute hand 6°/min, hour hand 0.5°/min — find the angle between them.
Explanation
A clock is 360° with 12 hours → 30° per hour mark.
Minute hand: 6° per minute; hour hand: 0.5° per minute.
Angle: compute |30H − 5.5M|, then take the smaller of that and 360° minus it.
How to use
Scrub time; at an exact hour the angle is hours × 30°.