Arc Minute to Degree Converter
Angle · unit-converter
Convert Arc Minute to Degree with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through radians with fixed definitions (360° per turn, 400 grad per turn, 60′ per degree, 60″ per minute, plus practical units like MOA, urad, and NATO 6400 mils per turn).
About Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
About Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
How to convert arc minutes to degrees
1 arc minute equals 0.016666666666666666 degree in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 0.017453292519943295 rad) deg = 0.016666666666666666 deg
Each arc minute carries 0.0002908882086657216 rad and each degree 0.017453292519943295 rad, so one arcmin equals 0.0002908882086657216 ÷ 0.017453292519943295 deg.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(deg) in Degree (deg). Then:
θ(deg) = θ(arcmin) × (0.0002908882086657216 / 0.017453292519943295)
Equivalently, divide by how many arcmin fit into one deg (rad per deg divided by rad per arcmin):
θ(deg) = θ(arcmin) ÷ 60
Examples
Example #1: Convert 1 arcmin to degree
1 arcmin = 1 arcmin × (0.0002908882086657216/0.017453292519943295) deg = 0.0166666667 deg
1 arcmin = 1 arcmin ÷ 60 = 0.0166666667 deg
1 arcmin × (0.0002908882086657216/0.017453292519943295) = 0.016667 deg
Example #2: Convert 10 arcmin to degree
10 arcmin = 10 arcmin × (0.0002908882086657216/0.017453292519943295) deg = 0.1666666667 deg
10 arcmin = 10 arcmin ÷ 60 = 0.1666666667 deg
10 arcmin × (0.0002908882086657216/0.017453292519943295) = 0.166667 deg
Summary
To convert Arc Minute to Degree, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (0.017453292519943295 rad per deg). Equivalently: value_deg = value_arcmin × (0.0002908882086657216 / 0.017453292519943295). Numerically, 1 arcmin equals 0.016666666666666666 deg.
Relationship context
Both Arc Minute and Degree are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per deg) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Degree (deg) |
|---|---|
| 0.1 | 0.0016666667 |
| 1 | 0.0166666667 |
| 2 | 0.0333333333 |
| 3 | 0.05 |
| 4 | 0.0666666667 |
| 5 | 0.0833333333 |
| 6 | 0.1 |
| 7 | 0.1166666667 |
| 8 | 0.1333333333 |
| 9 | 0.15 |
| Arc Minute (arcmin) | Degree (deg) |
|---|---|
| 10 | 0.1666666667 |
| 20 | 0.3333333333 |
| 30 | 0.5 |
| 40 | 0.6666666667 |
| 50 | 0.8333333333 |
| 60 | 1 |
| 70 | 1.1666666667 |
| 80 | 1.3333333333 |
| 90 | 1.5 |
| 100 | 1.6666666667 |