Convert Radians to Arcseconds
1 radian = 206,264.8 arcseconds. Type any value below to convert in either direction — the calculation happens in your browser.
Radians to Arcseconds formula
Multiply the number of radians by 206264.8 to get arcseconds.
arcseconds = radians × 206264.8To go the other way: divide the number of arcseconds by 206264.8, or multiply by 0.000004848137.
radians = arcseconds ÷ 206264.8Radians 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 ″ |
| 15 rad | 3,093,972 ″ |
| 20 rad | 4,125,296 ″ |
| 25 rad | 5,156,620 ″ |
| 30 rad | 6,187,944 ″ |
| 40 rad | 8,250,592 ″ |
| 50 rad | 10,313,240 ″ |
| 75 rad | 15,469,860 ″ |
| 100 rad | 20,626,481 ″ |
| 250 rad | 51,566,202 ″ |
| 500 rad | 103,132,403 ″ |
| 1,000 rad | 206,264,806 ″ |
Arcseconds 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 |
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
About the arcsecond
An arcsecond is one sixtieth of an arcminute, the precision scale of telescopes and GPS coordinates.
Frequently asked questions
How many arcseconds are in a radian?
There are 206,264.8 arcseconds in one radian.
How many radians are in a arcsecond?
There are 0.000004848137 radians in one arcsecond.
Is this conversion exact?
The ratio between the radian and the arcsecond is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 radians in arcseconds?
10 radians equals 2,062,648 arcseconds.