Arc Minute to Arc Second Converter
Angle · unit-converter
Convert Arc Minute to Arc Second 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 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.
How to convert arc minutes to arc seconds
1 arc minute equals 60 arc second in this tool (via radian):
1 arcmin = (0.0002908882086657216 rad ÷ 0.00000484813681109536 rad) arcsec = 60 arcsec
Each arc minute carries 0.0002908882086657216 rad and each arc second 0.00000484813681109536 rad, so one arcmin equals 0.0002908882086657216 ÷ 0.00000484813681109536 arcsec.
Let θ(arcmin) be the angle in Arc Minute (arcmin), and θ(arcsec) in Arc Second (arcsec). Then:
θ(arcsec) = θ(arcmin) × (0.0002908882086657216 / 0.00000484813681109536)
Equivalently, divide by how many arcmin fit into one arcsec (rad per arcsec divided by rad per arcmin):
θ(arcsec) = θ(arcmin) ÷ 0.016666666666666666
Examples
Example #1: Convert 1 arcmin to arc second
1 arcmin = 1 arcmin × (0.0002908882086657216/0.00000484813681109536) arcsec = 60 arcsec
1 arcmin = 1 arcmin ÷ 0.016666666666666666 = 60 arcsec
1 arcmin × (0.0002908882086657216/0.00000484813681109536) = 60.000000 arcsec
Example #2: Convert 10 arcmin to arc second
10 arcmin = 10 arcmin × (0.0002908882086657216/0.00000484813681109536) arcsec = 600 arcsec
10 arcmin = 10 arcmin ÷ 0.016666666666666666 = 600 arcsec
10 arcmin × (0.0002908882086657216/0.00000484813681109536) = 600.000000 arcsec
Summary
To convert Arc Minute to Arc Second, multiply the value in arcmin by (0.0002908882086657216 rad per arcmin) / (0.00000484813681109536 rad per arcsec). Equivalently: value_arcsec = value_arcmin × (0.0002908882086657216 / 0.00000484813681109536). Numerically, 1 arcmin equals 60 arcsec.
Relationship context
Both Arc Minute and Arc Second are converted by fixed multiples of the radian. Multiplying by (rad per arcmin) ÷ (rad per arcsec) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Minute (arcmin) | Arc Second (arcsec) |
|---|---|
| 0.1 | 6 |
| 1 | 60 |
| 2 | 120 |
| 3 | 180 |
| 4 | 240 |
| 5 | 300 |
| 6 | 360 |
| 7 | 420 |
| 8 | 480 |
| 9 | 540 |
| Arc Minute (arcmin) | Arc Second (arcsec) |
|---|---|
| 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 |