Formula
″ to rad conversion formula
Use this relationship for a direct conversion:
rad = ″ x 0.000004848137
Worked example
2 ″ = 0.0000096963 rad.
Displayed decimal results approximate irrational conversions that involve pi.
Angle conversion
Convert Arcsecond to Radian
1 arcsecond (″) equals 0.000004848137 radian (rad). Enter any value below to convert from ″ to rad.
Enter a value and choose units. Results update instantly.
1 ″ = 0.0000048481 rad
All Angle units
From 1 ″| Unit | Value |
|---|---|
| Radian rad | 0.0000048481 |
| Degree ° | 0.0002777778 |
| Gradian gon | 0.000308642 |
| Turn turn | 0.0000007716 |
| Arcminute ′ | 0.0166666667 |
| Arcsecond ″ | 1 |
| NATO mil mil | 0.0049382716 |
Recent conversions
- Your recent conversions stay on this device.
Quick reference
Arcsecond to Radian table
| Arcsecond (″) | Radian (rad) |
|---|---|
| 0.01 | 0.0000000485 |
| 0.1 | 0.0000004848 |
| 1 | 0.0000048481 |
| 2 | 0.0000096963 |
| 5 | 0.0000242407 |
| 10 | 0.0000484814 |
| 25 | 0.0001212034 |
| 50 | 0.0002424068 |
| 100 | 0.0004848137 |
| 1,000 | 0.0048481368 |
From unit
About the arcsecond
One 60th of an arcminute.
Symbol: ″
To unit
About the radian
The coherent SI unit of plane angle.
Symbol: rad
Keep converting
Related conversions
Source
Conversion standard
Definitions are checked against BIPM SI Brochure: Plane angle. Calculations use full internal precision before display rounding.
View the complete angle converterQuestions
″ to rad FAQ
How do you convert arcsecond to radian?
Use the formula rad = ″ x 0.000004848137. 1 arcsecond (″) equals 0.000004848137 radian (rad).
Is the ″ to rad conversion exact?
Displayed decimal results approximate irrational conversions that involve pi.