Convert from arcseconds to radians
Alternative name: Convert arcsec to rad
You can use this converter to convert the angle in arcseconds (arcsec) to the equivalent angle in radians (rad).
The formula used in this angle converter is listed below. There is also a arcseconds (arcsec) to radians (rad) conversion table for your convenience.
360 arcseconds is the same as:
0.001745 radiansIf you want to convert this angle the other way around, try this converter: radians to arcseconds converter
Arcseconds can also be converted to other units:
The conversion formula for arcseconds to radians
We know that 1 radian is the same as 206265 arcsecond. This allows us to set up the following formula:
angle(rad) = angle(arcsec) ÷ 206265
206265 is the conversion constant you need to remember to do this conversion.
Example usage of the arcseconds to radians formula
If you know the arcseconds (arcsec) to radians (rad) formula, then you can calculate the angle like this.
The example converts 360 arcsec to the same angle in radians.
0.001745 rad = 360 arcsec ÷ 206265
Conversion table for arcseconds to radians
This conversion table is based on the formula used above.
You can generate a conversion table for any number range by entering a start and end number range below.
| Arcsecond | Radian |
|---|---|
| 1 arcsec | 0.000004848 rad |
| 2 arcsec | 0.000009696 rad |
| 3 arcsec | 0.00001454 rad |
| 4 arcsec | 0.00001939 rad |
| 5 arcsec | 0.00002424 rad |
| 6 arcsec | 0.00002909 rad |
| 7 arcsec | 0.00003394 rad |
| 8 arcsec | 0.00003879 rad |
| 9 arcsec | 0.00004363 rad |
| 10 arcsec | 0.00004848 rad |
| 11 arcsec | 0.00005333 rad |
| 12 arcsec | 0.00005818 rad |
| 13 arcsec | 0.00006303 rad |
| 14 arcsec | 0.00006787 rad |
| 15 arcsec | 0.00007272 rad |
| 16 arcsec | 0.00007757 rad |
| 17 arcsec | 0.00008242 rad |
| 18 arcsec | 0.00008727 rad |
| 19 arcsec | 0.00009211 rad |
| 20 arcsec | 0.00009696 rad |
| 21 arcsec | 0.0001018 rad |
| 22 arcsec | 0.0001067 rad |
| 23 arcsec | 0.0001115 rad |
| 24 arcsec | 0.0001164 rad |
| 25 arcsec | 0.0001212 rad |
| 26 arcsec | 0.0001261 rad |
| 27 arcsec | 0.0001309 rad |
| 28 arcsec | 0.0001357 rad |
| 29 arcsec | 0.0001406 rad |
| 30 arcsec | 0.0001454 rad |
| 31 arcsec | 0.0001503 rad |
| 32 arcsec | 0.0001551 rad |
| 33 arcsec | 0.00016 rad |
| 34 arcsec | 0.0001648 rad |
| 35 arcsec | 0.0001697 rad |
| 36 arcsec | 0.0001745 rad |
| 37 arcsec | 0.0001794 rad |
| 38 arcsec | 0.0001842 rad |
| 39 arcsec | 0.0001891 rad |
| 40 arcsec | 0.0001939 rad |
| 41 arcsec | 0.0001988 rad |
| 42 arcsec | 0.0002036 rad |
| 43 arcsec | 0.0002085 rad |
| 44 arcsec | 0.0002133 rad |
| 45 arcsec | 0.0002182 rad |
| 46 arcsec | 0.000223 rad |
| 47 arcsec | 0.0002279 rad |
| 48 arcsec | 0.0002327 rad |
| 49 arcsec | 0.0002376 rad |
| 50 arcsec | 0.0002424 rad |
If you want, you can also see all other related units of measure in this category by clicking here. The table is updated, but the start and end range of the conversion remains the same.
If you need more advanced control over the table, see here: advanced conversion table