Arc Second to Degree Converter
Angle · unit-converter
Convert Arc Second 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 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 Degree
Degrees divide a circle into 360 parts. Common in everyday angles, maps, and many engineering drawings.
How to convert arc seconds to degrees
1 arc second equals 0.0002777777777777778 degree in this tool (via radian):
1 arcsec = (0.00000484813681109536 rad ÷ 0.017453292519943295 rad) deg = 0.0002777777777777778 deg
Each arc second carries 0.00000484813681109536 rad and each degree 0.017453292519943295 rad, so one arcsec equals 0.00000484813681109536 ÷ 0.017453292519943295 deg.
Let θ(arcsec) be the angle in Arc Second (arcsec), and θ(deg) in Degree (deg). Then:
θ(deg) = θ(arcsec) × (0.00000484813681109536 / 0.017453292519943295)
Equivalently, divide by how many arcsec fit into one deg (rad per deg divided by rad per arcsec):
θ(deg) = θ(arcsec) ÷ 3600
Examples
Example #1: Convert 1 arcsec to degree
1 arcsec = 1 arcsec × (0.00000484813681109536/0.017453292519943295) deg = 0.0002777778 deg
1 arcsec = 1 arcsec ÷ 3600 = 0.0002777778 deg
1 arcsec × (0.00000484813681109536/0.017453292519943295) = 0.000278 deg
Example #2: Convert 10 arcsec to degree
10 arcsec = 10 arcsec × (0.00000484813681109536/0.017453292519943295) deg = 0.0027777778 deg
10 arcsec = 10 arcsec ÷ 3600 = 0.0027777778 deg
10 arcsec × (0.00000484813681109536/0.017453292519943295) = 0.002778 deg
Summary
To convert Arc Second to Degree, multiply the value in arcsec by (0.00000484813681109536 rad per arcsec) / (0.017453292519943295 rad per deg). Equivalently: value_deg = value_arcsec × (0.00000484813681109536 / 0.017453292519943295). Numerically, 1 arcsec equals 0.0002777777777777778 deg.
Relationship context
Both Arc Second and Degree are converted by fixed multiples of the radian. Multiplying by (rad per arcsec) ÷ (rad per deg) matches passing through radians, keeping degrees, gradians, arc minutes, NATO mils, and revolutions consistent on the hub.
Conversion tables
| Arc Second (arcsec) | Degree (deg) |
|---|---|
| 0.1 | 0.0000277778 |
| 1 | 0.0002777778 |
| 2 | 0.0005555556 |
| 3 | 0.0008333333 |
| 4 | 0.0011111111 |
| 5 | 0.0013888889 |
| 6 | 0.0016666667 |
| 7 | 0.0019444444 |
| 8 | 0.0022222222 |
| 9 | 0.0025 |
| Arc Second (arcsec) | Degree (deg) |
|---|---|
| 10 | 0.0027777778 |
| 20 | 0.0055555556 |
| 30 | 0.0083333333 |
| 40 | 0.0111111111 |
| 50 | 0.0138888889 |
| 60 | 0.0166666667 |
| 70 | 0.0194444444 |
| 80 | 0.0222222222 |
| 90 | 0.025 |
| 100 | 0.0277777778 |