Arc Second to Arc Minute Converter
Angle · unit-converter
Convert Arc Second 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 Arc Second
An arc second is 1/60 of an arc minute or 1/3600 of a degree. Common in astronomy and very fine angular resolution.
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 arc seconds to arc minutes
1 arc second equals 0.016666666666666666 arc minute in this tool (via radian):
1 arcsec = (0.00000484813681109536 rad ÷ 0.0002908882086657216 rad) arcmin = 0.016666666666666666 arcmin
Each arc second carries 0.00000484813681109536 rad and each arc minute 0.0002908882086657216 rad, so one arcsec equals 0.00000484813681109536 ÷ 0.0002908882086657216 arcmin.
Let θ(arcsec) be the angle in Arc Second (arcsec), and θ(arcmin) in Arc Minute (arcmin). Then:
θ(arcmin) = θ(arcsec) × (0.00000484813681109536 / 0.0002908882086657216)
Equivalently, divide by how many arcsec fit into one arcmin (rad per arcmin divided by rad per arcsec):
θ(arcmin) = θ(arcsec) ÷ 60
Examples
Example #1: Convert 1 arcsec to arc minute
1 arcsec = 1 arcsec × (0.00000484813681109536/0.0002908882086657216) arcmin = 0.0166666667 arcmin
1 arcsec = 1 arcsec ÷ 60 = 0.0166666667 arcmin
1 arcsec × (0.00000484813681109536/0.0002908882086657216) = 0.016667 arcmin
Example #2: Convert 10 arcsec to arc minute
10 arcsec = 10 arcsec × (0.00000484813681109536/0.0002908882086657216) arcmin = 0.1666666667 arcmin
10 arcsec = 10 arcsec ÷ 60 = 0.1666666667 arcmin
10 arcsec × (0.00000484813681109536/0.0002908882086657216) = 0.166667 arcmin
Summary
To convert Arc Second to Arc Minute, multiply the value in arcsec by (0.00000484813681109536 rad per arcsec) / (0.0002908882086657216 rad per arcmin). Equivalently: value_arcmin = value_arcsec × (0.00000484813681109536 / 0.0002908882086657216). Numerically, 1 arcsec equals 0.016666666666666666 arcmin.
Relationship context
Both Arc Second and Arc Minute are converted by fixed multiples of the radian. Multiplying by (rad per arcsec) ÷ (rad per arcmin) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Second (arcsec) | Arc Minute (arcmin) |
|---|---|
| 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 Second (arcsec) | Arc Minute (arcmin) |
|---|---|
| 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 |