Arcsecond to Radian Converter
Convert arcseconds to radians (″ to rad) instantly with this free online angle converter. Enter any value in the Arcsecond field and get the equivalent in Radian immediately. This converter handles any quantity — from tiny fractions to large numbers — with full precision. No signup, no ads in the widget, and the conversion runs entirely in your browser for instant results.
The conversion factor is exact: 1 ″ = 4.848138956e-06 rad. To convert arcseconds to radians, multiply your Arcsecond value by 4.848138956e-06. For example, 10 ″ = 4.848138956e-05 rad. You can also reverse the calculation: 1 rad = 206264.715 ″.
Quick conversion table
| Arcsecond (″) | Radian (rad) |
|---|---|
| 1 ″ | 4.848138956e-06 rad |
| 5 ″ | 2.424069478e-05 rad |
| 10 ″ | 4.848138956e-05 rad |
| 25 ″ | 0.0001212034739 rad |
| 50 ″ | 0.0002424069478 rad |
| 100 ″ | 0.0004848138956 rad |
Use the swap button to reverse the direction, or choose a different unit from the dropdown menus to convert within the angle category.
Formula
Arcsecond to Radian conversion: 1 ″ = 4.848138956e-06 rad radians = arcseconds × 4.848138956e-06 1 rad = 206264.715 ″ arcseconds = radians × 206264.715
Example
Example: Convert 10 ″ to rad: 10 ″ × 4.848138956e-06 = 4.848138956e-05 rad So, 10 ″ is about 4.848138956e-05 rad. To convert back, multiply by 206264.715: 4.848138956e-05 rad × 206264.715 = 10 ″.
How to Use
- Enter the value you want to convert in the Arcsecond field
- The result in Radian appears instantly below
- Use the dropdown menus to change units if needed
- Click 'Swap Units' to reverse the conversion direction
- Copy the result or adjust the input for a new conversion
Frequently Asked Questions
How do I convert arcseconds to radians?
Enter the value in Arcsecond (″) in the 'From' field. The equivalent in Radian (rad) appears instantly in the 'To' field. The converter uses precise conversion factors and updates in real time as you type.
What is the formula to convert ″ to rad?
1 ″ = 4.848138956e-06 rad, so radians = arcseconds × 4.848138956e-06. To convert back, 1 rad = 206264.715 ″. The full formula and a worked example are shown on this page.
How many radians are in one Arcsecond?
1 ″ = 4.848138956e-06 rad.
Is this Arcsecond to Radian converter free?
Yes, completely free with no signup, no limits, and no ads in the converter widget. You can convert as many values as you need. The tool runs entirely in your browser, so your data never leaves your device.
Can I convert radians back to arcseconds?
Yes. Click the 'Swap Units' button to reverse the direction. You can also use the dropdown menus to select any other angle unit for either field.
How accurate is the ″ to rad conversion?
The converter uses high-precision conversion factors (up to 8 decimal places). Results are displayed with up to 6 decimal places, with trailing zeros removed for readability. For scientific or engineering work, always verify with official standards.