Degree to Arc Minute Converter
Angle · unit-converter
Convert Degree to Arc Minute 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
About Arc Minute
An arc minute is 1/60 of a degree (π/10,800 rad). Used in astronomy, navigation, and precision optics (MOA).
How to convert degrees to arc minutes
1 degree equals 60 arc minute in this tool (via radian):
1 deg = (0.017453292519943295 rad ÷ 0.0002908882086657216 rad) arcmin = 60 arcmin
Each degree carries 0.017453292519943295 rad and each arc minute 0.0002908882086657216 rad, so one deg equals 0.017453292519943295 ÷ 0.0002908882086657216 arcmin.
Let θ(deg) be the angle in Degree (deg), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(deg) × (0.017453292519943295 / 0.0002908882086657216)
Equivalently, divide by how many deg fit into one arcmin (rad per arcmin divided by rad per deg):
θ(arcmin) = θ(deg) ÷ 0.016666666666666666
Examples
Example #1: Convert 1 deg to arc minute
1 deg = 1 deg × (0.017453292519943295/0.0002908882086657216) arcmin = 60 arcmin
1 deg = 1 deg ÷ 0.016666666666666666 = 60 arcmin
1 deg × (0.017453292519943295/0.0002908882086657216) = 60.000000 arcmin
Example #2: Convert 10 deg to arc minute
10 deg = 10 deg × (0.017453292519943295/0.0002908882086657216) arcmin = 600 arcmin
10 deg = 10 deg ÷ 0.016666666666666666 = 600 arcmin
10 deg × (0.017453292519943295/0.0002908882086657216) = 600.000000 arcmin
Summary
To convert Degree to Arc Minute, multiply the value in deg by (0.017453292519943295 rad per deg) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_deg × (0.017453292519943295 / 0.0002908882086657216). Numerically, 1 deg equals 60 arcmin.
Relationship context
Both Degree and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per deg) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Degree (deg) | Arc Minute (arcmin) |
|---|---|
| 0.1 | 6 |
| 1 | 60 |
| 2 | 120 |
| 3 | 180 |
| 4 | 240 |
| 5 | 300 |
| 6 | 360 |
| 7 | 420 |
| 8 | 480 |
| 9 | 540 |
| Degree (deg) | Arc Minute (arcmin) |
|---|---|
| 10 | 600 |
| 20 | 1,200 |
| 30 | 1,800 |
| 40 | 2,400 |
| 50 | 3,000 |
| 60 | 3,600 |
| 70 | 4,200 |
| 80 | 4,800 |
| 90 | 5,400 |
| 100 | 6,000 |