Degree to Radian Converter
Convert degrees to radians (° to rad) instantly with this free online angle converter. Enter any value in the Degree 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 ° = 0.01745328628 rad. To convert degrees to radians, multiply your Degree value by 0.01745328628. For example, 10 ° = 0.1745328628 rad. You can also reverse the calculation: 1 rad = 57.2958 °.
Quick conversion table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.01745328628 rad |
| 5 ° | 0.0872664314 rad |
| 10 ° | 0.1745328628 rad |
| 25 ° | 0.436332157 rad |
| 50 ° | 0.872664314 rad |
| 100 ° | 1.745328628 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
Degree to Radian conversion: 1 ° = 0.01745328628 rad radians = degrees × 0.01745328628 1 rad = 57.2958 ° degrees = radians × 57.2958
Example
Example: Convert 10 ° to rad: 10 ° × 0.01745328628 = 0.1745328628 rad So, 10 ° is about 0.1745328628 rad. To convert back, multiply by 57.2958: 0.1745328628 rad × 57.2958 = 10 °.
How to Use
- Enter the value you want to convert in the Degree 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 degrees to radians?
Enter the value in Degree (°) 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 ° = 0.01745328628 rad, so radians = degrees × 0.01745328628. To convert back, 1 rad = 57.2958 °. The full formula and a worked example are shown on this page.
How many radians are in one Degree?
1 ° = 0.01745328628 rad.
Is this Degree 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 degrees?
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.