Gradian to Radian Converter
Convert gradians to radians (gon to rad) instantly with this free online angle converter. Enter any value in the Gradian 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 gon = 0.01570795765 rad. To convert gradians to radians, multiply your Gradian value by 0.01570795765. For example, 10 gon = 0.1570795765 rad. You can also reverse the calculation: 1 rad = 63.662 gon.
Quick conversion table
| Gradian (gon) | Radian (rad) |
|---|---|
| 1 gon | 0.01570795765 rad |
| 5 gon | 0.07853978826 rad |
| 10 gon | 0.1570795765 rad |
| 25 gon | 0.3926989413 rad |
| 50 gon | 0.7853978826 rad |
| 100 gon | 1.570795765 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
Gradian to Radian conversion: 1 gon = 0.01570795765 rad radians = gradians × 0.01570795765 1 rad = 63.662 gon gradians = radians × 63.662
Example
Example: Convert 10 gon to rad: 10 gon × 0.01570795765 = 0.1570795765 rad So, 10 gon is about 0.1570795765 rad. To convert back, multiply by 63.662: 0.1570795765 rad × 63.662 = 10 gon.
How to Use
- Enter the value you want to convert in the Gradian 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 gradians to radians?
Enter the value in Gradian (gon) 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 gon to rad?
1 gon = 0.01570795765 rad, so radians = gradians × 0.01570795765. To convert back, 1 rad = 63.662 gon. The full formula and a worked example are shown on this page.
How many radians are in one Gradian?
1 gon = 0.01570795765 rad.
Is this Gradian 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 gradians?
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 gon 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.