How to find angle between hour and minute hands at a given time?

One of the common problems one might face is to find the angle between the hour and minute hands at a given time. The easiest way to do this is this:

  • Take 12:00 (h = 12, m = 0) as a reference point.
  • Then find the angle that the hour hand makes with respect to 12:00 in h hours and m minutes.
  • Then find the angle that the minute hand makes with respect to 12:00 in h hours and m minutes.
  • Then subtract the two angles to find the angle between hour and minute hands.

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