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Clock Angle Calculator

Result

Calculated result 12 Based on the values entered.
↗ Math

Clock Angle Calculator Calculate the angle between the hour and minute hands of a clock at any given time. — free online calculator.

Formula

Hour angle = (hours × 60 + minutes) × 0.5°; Minute angle = minutes × 6°
  • Clock Angle Calculator calculates its result from Minutes, Hours. It uses the formula Hour angle = (hours × 60 + minutes) × 0.5°; Minute angle = minutes × 6°. Change any input to recalculate the result instantly.
  • The main inputs are Minutes, Hours. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Clock Angle

Inputs
  • Minutes: 2
  • Hours: 3

Using Minutes = 2, Hours = 3, the calculated result is 12.

Sample result: Calculating…

Frequently asked questions

What does the Clock Angle calculate?

Clock Angle Calculator Calculate the angle between the hour and minute hands of a clock at any given time. — free online calculator.

Which values should I enter?

Enter Minutes, Hours using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Hour angle = (hours × 60 + minutes) × 0.5°; Minute angle = minutes × 6°.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026