Radian to Arcsecond Converter
Convert radians to arcseconds (rad to ″) instantly with this free online angle converter. Enter any value in the Radian field and get the equivalent in Arcsecond 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 rad = 206264.715 ″. To convert radians to arcseconds, multiply your Radian value by 206264.715. For example, 10 rad = 2062647.15 ″. You can also reverse the calculation: 1 ″ = 4.848138956e-06 rad.
Quick conversion table
| Radian (rad) | Arcsecond (″) |
|---|---|
| 1 rad | 206264.715 ″ |
| 5 rad | 1031323.575 ″ |
| 10 rad | 2062647.15 ″ |
| 25 rad | 5156617.875 ″ |
| 50 rad | 10313235.75 ″ |
| 100 rad | 20626471.5 ″ |
Use the swap button to reverse the direction, or choose a different unit from the dropdown menus to convert within the angle category.
Formula
Radian to Arcsecond conversion: 1 rad = 206264.715 ″ arcseconds = radians × 206264.715 1 ″ = 4.848138956e-06 rad radians = arcseconds × 4.848138956e-06
Example
Example: Convert 10 rad to ″: 10 rad × 206264.715 = 2062647.15 ″ So, 10 rad is about 2062647.15 ″. To convert back, multiply by 4.848138956e-06: 2062647.15 ″ × 4.848138956e-06 = 10 rad.
How to Use
- Enter the value you want to convert in the Radian field
- The result in Arcsecond 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 radians to arcseconds?
Enter the value in Radian (rad) in the 'From' field. The equivalent in Arcsecond (″) 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 rad to ″?
1 rad = 206264.715 ″, so arcseconds = radians × 206264.715. To convert back, 1 ″ = 4.848138956e-06 rad. The full formula and a worked example are shown on this page.
How many arcseconds are in one Radian?
1 rad = 206264.715 ″.
Is this Radian to Arcsecond 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 arcseconds back to radians?
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 rad to ″ 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.