Convert Arcseconds to Radians
1 arcsecond = 0.000004848137 radians. Type any value below to convert in either direction — the calculation happens in your browser.
Arcseconds to Radians formula
Multiply the number of arcseconds by 0.000004848137 to get radians.
radians = arcseconds × 0.000004848137To go the other way: divide the number of radians by 0.000004848137, or multiply by 206264.8.
arcseconds = radians ÷ 0.000004848137Arcseconds to Radians conversion table
| Arcseconds | Radians |
|---|---|
| 1 ″ | 0.000004848137 rad |
| 2 ″ | 0.000009696274 rad |
| 3 ″ | 0.00001454441 rad |
| 4 ″ | 0.00001939255 rad |
| 5 ″ | 0.00002424068 rad |
| 6 ″ | 0.00002908882 rad |
| 7 ″ | 0.00003393696 rad |
| 8 ″ | 0.00003878509 rad |
| 9 ″ | 0.00004363323 rad |
| 10 ″ | 0.00004848137 rad |
| 15 ″ | 0.00007272205 rad |
| 20 ″ | 0.00009696274 rad |
| 25 ″ | 0.0001212034 rad |
| 30 ″ | 0.0001454441 rad |
| 40 ″ | 0.0001939255 rad |
| 50 ″ | 0.0002424068 rad |
| 75 ″ | 0.0003636103 rad |
| 100 ″ | 0.0004848137 rad |
| 250 ″ | 0.001212034 rad |
| 500 ″ | 0.002424068 rad |
| 1,000 ″ | 0.004848137 rad |
Radians to Arcseconds conversion table
| Radians | Arcseconds |
|---|---|
| 1 rad | 206,264.8 ″ |
| 2 rad | 412,529.6 ″ |
| 3 rad | 618,794.4 ″ |
| 4 rad | 825,059.2 ″ |
| 5 rad | 1,031,324 ″ |
| 6 rad | 1,237,589 ″ |
| 7 rad | 1,443,854 ″ |
| 8 rad | 1,650,118 ″ |
| 9 rad | 1,856,383 ″ |
| 10 rad | 2,062,648 ″ |
About the arcsecond
An arcsecond is one sixtieth of an arcminute, the precision scale of telescopes and GPS coordinates.
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
Frequently asked questions
How many radians are in a arcsecond?
There are 0.000004848137 radians in one arcsecond.
How many arcseconds are in a radian?
There are 206,264.8 arcseconds in one radian.
Is this conversion exact?
The ratio between the arcsecond and the radian is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 arcseconds in radians?
10 arcseconds equals 0.00004848137 radians.