Clock Angle Calculator

Your details

Forward mode finds the angle at a given time. Reverse mode finds all minutes within a chosen hour where the hands form a specific angle.
The hour hand position (0-23, 24-hour input accepted).
h
The minute hand position (0-59).
min
Choose whether angles are shown in degrees or radians.
Angle between handsRight or near-right angle
90

The smaller of the two angles between the hands (0 to 180)

Reflex angle270
Hour hand position90
Minute hand position0
90 deg
Acute<45Right45-90Obtuse90-135Straight135+

At 3:00 the angle between the hands is 90.00 deg.

  • The hour hand is at 90.00 deg from 12 o'clock; the minute hand is at 0.00 deg.
  • The smaller angle between the hands is 90.00 deg; the reflex (going the other way) is 270.00 deg.
  • At 3:00 the hands form an exact right angle (90 deg).
  • Remember: the hour hand moves continuously. At 3:15 it has already moved 7.5 deg past the 3, so the angle is not exactly 90 deg.

Next stepTry reverse mode to find every minute in this hour where the hands form this same angle.

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