Table Of Contents
Radians to arcseconds Conversion
1 radians (rad) is equal to 206264.8062 arcseconds (arcsec).
1 rad = 206264.8062 arcsec
or
1 arcsec = 0.000004848136811 rad
Formula
To convert a angle from radians (rad) to arcseconds (arcsec), multiply the angle in radians by 206264.8062
a(arcsec) = a(rad) × 206264.8062
Examples:
Convert 60 radians to arcseconds:
a(arcsec) = 60rad × 206264.8062 = 12375888.37 arcsec
Conversion table
| 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 |
| 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 |
Frequently asked questions
How do I convert radians to arcseconds?
Multiply the value in radians by 206264.8062 to get the result in arcseconds. For example, 5 rad × 206264.8062 = 1031324.031235482 arcsec.
How many arcseconds are in 1 radians?
1 radians (rad) is equal to 206264.806247096 arcseconds (arcsec).
How do I convert arcseconds back to radians?
Use the inverse operation: divide the value in arcseconds by 206264.8062 to get the result in radians.
How accurate is the radians to arcseconds 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: