A degree is pi/180 radians.
Degrees to Arcminutes Converter — deg to arcmin
Convert Degree (deg) to Arcminute (arcmin) using the exact conversion factor (1 degree = 60 arcminute). See the formula, worked examples, conversion table, history, and common uses.
Degrees to Arcminutes 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.
One arcminute is 1/60 degree.
Result = input x 0.01745329252 / 0.0002908882087.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Degrees to Arcminutes
Degree and Arcminute 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. Degree is most often used for navigation and cartography (latitude/longitude).
Formula
arcminutes = degrees × 60
This factor comes from each unit's defined relationship to the category's base unit: 1 degree equals 0.0174532925199 base units, and 1 arcminute equals 0.000290888208666 base units, so dividing one by the other gives the direct degree-to-arcminute factor of 60.
Simple example
1 deg × 60 = 60 arcmin
1 degree = 60 arcminutes.
Real-world example
90 deg × 60 = 5,400 arcmin
90 degrees = 5,400 arcminutes.
Conversion table
| Degree (deg) | Arcminute (arcmin) |
|---|---|
| 0 deg | 0 arcmin |
| 30 deg | 1,800 arcmin |
| 45 deg | 2,700 arcmin |
| 90 deg | 5,400 arcmin |
| 180 deg | 10,800 arcmin |
| 360 deg | 21,600 arcmin |
Reverse conversion: Arcminute to Degree
60 arcmin × 0.01666666667 = 1 deg
60 arcminutes = 1 degree.
degrees = arcminutes × 0.0166666666667
For a page dedicated to this direction, see Arcminute to 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.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
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 arcminutes are in 1 degree?
1 degree equals 60 arcminutes, using the exact defined conversion factor rather than an estimate.
How do I convert degree to arcminute?
Multiply the degree value by 60. The converter above does this instantly to whatever precision you set.
How do I convert arcminute back to degree?
Use the reverse factor: 1 arcminute equals 0.0166666667 degrees. You can also use the swap control in the converter above to flip the direction instantly.
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.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
Is the degree to arcminute conversion exact?
Yes. Both degree and arcminute are defined by fixed standards rather than physical artifacts, so the factor of 60 used above is exact to as many digits as you choose to display.
Where is the degree still used today?
Used worldwide for navigation, geography, and everyday angle measurement.