Convert radians to arcseconds
1 rad = 206,264.81 ″. Change the amount below, or read the formula and the reference table further down.
1 radian equals
arcseconds
1 rad = 206,264.81 ″
The formula
Radians and arcseconds both measure angle from the same zero, so a single multiplier does the job.
″ = rad × 206,264.81
Going the other way? Convert arcseconds to radians.
Radians to arcseconds table
Common values, rounded for reading.
| Radians (rad) | Arcseconds (″) |
|---|---|
| 1 | 206,264.81 |
| 2 | 412,529.61 |
| 3 | 618,794.42 |
| 4 | 825,059.22 |
| 5 | 1,031,324.03 |
| 6 | 1,237,588.84 |
| 7 | 1,443,853.64 |
| 8 | 1,650,118.45 |
| 9 | 1,856,383.26 |
| 10 | 2,062,648.06 |
| 15 | 3,093,972.09 |
| 20 | 4,125,296.12 |
| 25 | 5,156,620.16 |
| 30 | 6,187,944.19 |
| 40 | 8,250,592.25 |
| 50 | 10,313,240.31 |
| 75 | 15,469,860.47 |
| 100 | 20,626,480.62 |
| 250 | 51,566,201.56 |
| 500 | 103,132,403.12 |
| 1,000 | 206,264,806.25 |
Questions people ask
- How many arcseconds are in a radian?
- One radian equals 206,264.81 arcseconds.
- How do I convert radians to arcseconds by hand?
- Multiply the number of radians by 206,264.81. For a rough check, 206,264.81 is close enough for most everyday use.
- What is 1 radian in arcseconds?
- 1 radian is 206,264.81 arcseconds.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.