Table Of Contents
Arcseconds to radians Conversion
1 arcseconds (arcsec) is equal to 0.000004848136811 radians (rad).
1 arcsec = 0.000004848136811 rad
or
1 rad = 206264.8062 arcsec
Formula
To convert a angle from arcseconds (arcsec) to radians (rad), divide the angle in arcseconds by 206264.8062
a(rad) = a(arcsec) / 206264.8062
Examples:
Convert 1 arcseconds to radians:
a(rad) = 1arcsec / 206264.8062 = 0.000004848136811 rad
Conversion table
| Arcseconds (arcsec) | Radians (rad) |
|---|---|
| 1 arcsec | 4.848137e-6 rad |
| 2 arcsec | 9.696274e-6 rad |
| 3 arcsec | 1.454441e-5 rad |
| 5 arcsec | 2.424068e-5 rad |
| 10 arcsec | 4.848137e-5 rad |
| 15 arcsec | 7.272205e-5 rad |
| 20 arcsec | 9.696274e-5 rad |
| 25 arcsec | 1.21203e-4 rad |
| 30 arcsec | 1.45444e-4 rad |
| 45 arcsec | 2.18166e-4 rad |
| 50 arcsec | 2.42407e-4 rad |
| 60 arcsec | 2.90888e-4 rad |
| 90 arcsec | 4.36332e-4 rad |
| 180 arcsec | 8.72665e-4 rad |
| 360 arcsec | 0.001745329 rad |
| Radians (rad) | Arcseconds (arcsec) |
|---|---|
| 1 rad | 206264.806247096 arcsec |
| 2 rad | 412529.612494193 arcsec |
| 3 rad | 618794.418741289 arcsec |
| 5 rad | 1031324.031235482 arcsec |
| 10 rad | 2062648.062470964 arcsec |
| 15 rad | 3093972.093706445 arcsec |
| 20 rad | 4125296.124941927 arcsec |
| 25 rad | 5156620.156177409 arcsec |
| 30 rad | 6187944.187412891 arcsec |
| 45 rad | 9281916.281119335 arcsec |
| 50 rad | 1.0313240312354818e7 arcsec |
| 60 rad | 1.2375888374825781e7 arcsec |
| 90 rad | 1.856383256223867e7 arcsec |
| 180 rad | 3.712766512447734e7 arcsec |
| 360 rad | 7.425533024895468e7 arcsec |
Frequently asked questions
How do I convert arcseconds to radians?
Divide the value in arcseconds by 206264.8062 to get the result in radians. For example, 5 arcsec ÷ 206264.8062 = 2.424068e-5 rad.
How many radians are in 1 arcseconds?
1 arcseconds (arcsec) is equal to 4.848137e-6 radians (rad).
How do I convert radians back to arcseconds?
Use the inverse operation: multiply the value in radians by 206264.8062 to get the result in arcseconds.
How accurate is the arcseconds to radians conversion?
The converter multiplies by the conversion factor 206264.8062 and rounds the result to 9 decimal places by default. You can increase or reduce the precision with the digits option on this page.
Sources
Conversion factors are based on internationally recognised standards:
