One arcminute is 1/60 degree.
Arcminutes to Degrees Converter — arcmin to deg
Convert Arcminute (arcmin) to Degree (deg) using the exact conversion factor (1 arcminute = 0.0166666667 degree). See the formula, worked examples, conversion table, history, and common uses.
Arcminutes to Degrees converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
A degree is pi/180 radians.
Result = input x 0.0002908882087 / 0.01745329252.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Degrees
Arcminute and Degree are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One arcminute is 1/60 degree, and a degree is pi/180 radians.
Formula
degrees = arcminutes × 0.0166666666667
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 degree equals 0.0174532925199 base units, so dividing one by the other gives the direct arcminute-to-degree factor of 0.0166666666667.
Simple example
1 arcmin × 0.01666666667 = 0.0166666667 deg
1 arcminute = 0.0166666667 degrees.
Real-world example
90 arcmin × 0.01666666667 = 1.5 deg
90 arcminutes = 1.5 degrees.
Conversion table
| Arcminute (arcmin) | Degree (deg) |
|---|---|
| 0 arcmin | 0 deg |
| 30 arcmin | 0.5 deg |
| 45 arcmin | 0.75 deg |
| 90 arcmin | 1.5 deg |
| 180 arcmin | 3 deg |
| 360 arcmin | 6 deg |
Reverse conversion: Degree to Arcminute
0.0166666667 deg × 60 = 1.000000002 arcmin
0.0166666667 degrees = 1.000000002 arcminutes.
arcminutes = degrees × 60
For a page dedicated to this direction, see Degree to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Degree
Degree (deg) measures angle. A degree is 1/360 of a full rotation, a division dating to Babylonian base-60 astronomy. It is classified as a Non-SI unit accepted for use with SI.
Where it's used: Used worldwide for navigation, geography, and everyday angle measurement.
Uses of the Degree today
- Navigation and cartography (latitude/longitude)
- Construction and surveying
- Everyday angle measurement (protractors, sports)
History of the Degree
The 360-degree circle traces to ancient Babylonian astronomy, whose base-60 (sexagesimal) number system made 360 — divisible by many small numbers — a practical choice for dividing a circle. The convention passed through Greek astronomy (Hipparchus, Ptolemy) into common use.
Historical origin. Degree was not the invention of a single named person; it developed through the process described above.
Degree — sources
- NIST Special Publication 811 — Lists the degree among non-SI units accepted for use with SI.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many degrees are in 1 arcminute?
1 arcminute equals 0.0166666667 degrees, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to degree?
Multiply the arcminute value by 0.01666666667. The converter above does this instantly to whatever precision you set.
How do I convert degree back to arcminute?
Use the reverse factor: 1 degree equals 60 arcminutes. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
What is a degree?
Degree (deg) measures angle. A degree is 1/360 of a full rotation, a division dating to Babylonian base-60 astronomy. It is classified as a Non-SI unit accepted for use with SI.
Is the arcminute to degree conversion exact?
Yes. Both arcminute and degree are defined by fixed standards rather than physical artifacts, so the factor of 0.01666666667 used above is exact to as many digits as you choose to display.