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Clock Angle

Convert between clock times and the angle between the hands.

A clock face is 360 degrees. The minute hand moves 6° per minute. The hour hand moves 30° per hour plus 0.5° per minute of creep, so the classic formula is:

angle = |30H − 5.5M|

Where H is the hour (1–12) and M is the minutes (0–59). Times also accept seconds for sub-minute precision.

  • Standard mode caps the result at 180° (the smaller of the two arcs).
  • Raw mode allows values up to 360°, the form used by many geocaching puzzles.
  • The CW° and CCW° columns show the directional sweep from the hour hand to the minute hand. They always add up to 360°.

For puzzles that pack coordinates into clock angles, strip the decimal from each angle to get its digit contribution (3.5° becomes 35, 308° stays 308), then concatenate. The summary block under the results table shows that string ready to read as DDM coordinates.

Accepted: 3:17, 3:17 pm, 15:17, 3:17:30, 3:17:30 pm