Arcsecond to Radian Converter
Convert arcseconds to radians with this free angle converter. The exact relationship used on this page is 1 arcsecond = 0.0000048481368111 radians. Type any number — the result updates instantly, works on phones and desktops, and is ready to copy into homework, a spec sheet, or a shopping list.
Formula: Radian = Arcsecond × 0.0000048481368111
How to convert arcseconds to radians
- Enter the value in arcseconds in the converter.
- Read the equivalent amount in radians.
- Use the swap link if you need radian to arcsecond instead.
- Check the table for common values without typing.
Worked examples
- 1 ″ = 0.000004848136811 rad
- 5 ″ = 0.00002424068406 rad
- 10 ″ = 0.00004848136811 rad
- 25 ″ = 0.0001212034203 rad
Conversion table
Common arcseconds values converted to radians.
| ″ | rad |
|---|---|
| 1 | 0.000004848136811 |
| 2 | 0.000009696273622 |
| 3 | 0.00001454441043 |
| 4 | 0.00001939254724 |
| 5 | 0.00002424068406 |
| 6 | 0.00002908882087 |
| 7 | 0.00003393695768 |
| 8 | 0.00003878509449 |
| 9 | 0.0000436332313 |
| 10 | 0.00004848136811 |
| 20 | 0.00009696273622 |
| 50 | 0.0002424068406 |
| 100 | 0.0004848136811 |
| 250 | 0.001212034203 |
| 500 | 0.002424068406 |
| 1,000 | 0.004848136811 |
About this conversion
Arcsecond (″) and Radian (rad) are both angle units. Angles appear in geometry, navigation, CGI, and engineering. Bookmark this URL when you convert arcseconds to radians often, then explore related pairs in the same category if you need a different target unit.
Need the other direction? Open the radian to arcsecond converter.
FAQ
How many radians are in 1 arcsecond?+
1 arcsecond equals 0.0000048481368111 radians.
What is the formula to convert arcseconds to radians?+
Radian = Arcsecond × 0.0000048481368111
How do I convert arcseconds to radians by hand?+
Multiply the arcsecond value by 0.0000048481368111. Example: 10 arcseconds × 0.0000048481368111 = 0.000048481368111 radians.
Is this ″ to rad converter accurate?+
Yes. Linear conversions use internationally agreed factors relative to SI. Temperature and inverse fuel units use the standard offset or reciprocal formulas, not a guessed scale factor.