Convert arcseconds to radians
1 ″ = 0.00000485 rad. Change the amount below, or read the formula and the reference table further down.
1 arcsecond equals
radians
1 ″ = 0.00000485 rad
The formula
Arcseconds and radians both measure angle from the same zero, so a single multiplier does the job.
rad = ″ × 0.0000048481
Going the other way? Convert radians to arcseconds.
Arcseconds to radians table
Common values, rounded for reading.
| Arcseconds (″) | Radians (rad) |
|---|---|
| 1 | 0.000005 |
| 2 | 0.00001 |
| 3 | 0.000015 |
| 4 | 0.000019 |
| 5 | 0.000024 |
| 6 | 0.000029 |
| 7 | 0.000034 |
| 8 | 0.000039 |
| 9 | 0.000044 |
| 10 | 0.000048 |
| 15 | 0.000073 |
| 20 | 0.000097 |
| 25 | 0.000121 |
| 30 | 0.000145 |
| 40 | 0.000194 |
| 50 | 0.000242 |
| 75 | 0.000364 |
| 100 | 0.000485 |
| 250 | 0.001212 |
| 500 | 0.002424 |
| 1,000 | 0.004848 |
Questions people ask
- How many radians are in a arcsecond?
- One arcsecond equals 0.0000048481 radians.
- How do I convert arcseconds to radians by hand?
- Multiply the number of arcseconds by 0.0000048481. For a rough check, 0 is close enough for most everyday use.
- What is 1 arcsecond in radians?
- 1 arcsecond is 0.00000485 radians.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.