arcsecond to radian
Convert arcsecond (″) to radian (rad). Use an editable angle converter, conversion formula, and reference table.
1 ″ = 0.000004848136811 rad
Conversion formula
One arcsecond equals 0.000004848136811 radian. Multiply your value in arcsecond by this factor to get radian. For the reverse conversion, divide by the same factor.
Worked example
To convert 5 arcsecond:5 × 0.000004848136811 = 0.00002424068406 rad
Conversion table
| arcsecond (″) | radian (rad) |
|---|---|
| 0.01 | 4.84813681e-8 |
| 0.1 | 4.84813681e-7 |
| 1 | 0.000004848136811 |
| 2 | 0.000009696273622 |
| 5 | 0.00002424068406 |
| 10 | 0.00004848136811 |
| 25 | 0.0001212034203 |
| 50 | 0.0002424068406 |
| 100 | 0.0004848136811 |
| 1000 | 0.004848136811 |
About these measurements
An angle describes rotation between directions.
The base reference used here is the radian. One arcsecond is 0.000004848136811 base units; one radian is 1 base units.
Important distinctions
A full turn is 360 degrees or 2π radians. Signed angles are permitted.
Precision
The converter uses stored conversion factors and floating-point arithmetic. Results display up to ten significant digits, switching to scientific notation for very small or large values. Keep the precision of your original measurement when reporting results.
Common questions
How do I convert ″ to rad?
Multiply the quantity in ″ by 0.000004848136811. You can also type the value into the converter above.
Can I reverse the conversion?
Yes. Use the swap button or open the radian to arcsecond converter.
Reference
NIST Guide to the SI — conversion factors and prefix conventions. SI prefixes scale units by powers of ten; the dimension-specific notes above describe the assumptions used on this page.
