Degrees to Radians Converter
This tool converts Degrees (°) to Radians (rad) quickly and accurately. Whether you are working with trigonometry, navigation, or physics calculations, it delivers instant results right in your browser.
Understanding the Units
Degree (°)
Radian (rad)
Who Uses This Conversion?
- Students: Learning trigonometry and geometry
- Engineers: Working with rotational mechanics and control systems
- Navigators: Converting compass bearings and coordinates
- Astronomers: Measuring celestial positions and angles
- Surveyors: Working with land measurements
How to Use
Converting degrees to radians takes just seconds:
Enter Degrees
Type the degree value into the first input field.
View the Radians
The result in radians appears instantly in the second field as you type.
Copy the Result
Use the copy button to place the result on your clipboard whenever you need it.
Reverse Conversion
Need to convert Radians to Degrees instead? Click the swap button (↔) to reverse the direction, or simply type in the Radians field directly.
Tips for Accurate Conversions
- Use decimal points for precise values (e.g., 45.5 instead of 46)
- Large numbers are automatically formatted with thousand separators
- Results update instantly as you type
Common Applications
- Trigonometric calculations
- Navigation and compass readings
- Astronomy and celestial measurements
- Engineering and physics problems
Features
Instant Conversion
Results appear as you type, with no convert button to press. Calculations use precise conversion factors.
Bidirectional Input
Type in either field and the other updates automatically, so you can work in whichever direction you need.
Copy Results
Click the copy button next to any value to copy it to your clipboard for documents, emails, or other apps.
Quick Reference Table
The reference section shows common degree-to-radian conversions at a glance for fast lookups.
Unit Flexibility
Use the dropdown menus to switch to other angle units: Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.
Mobile Friendly
Works on all devices — desktop, tablet, and mobile — so you can convert angle units anywhere.
Common Conversions
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.017453 rad |
| 10 ° | 0.174533 rad |
| 30 ° | 0.523599 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 180 ° | 3.1416 rad |
Frequently Asked Questions
How do I convert Degrees to Radians?
Multiply the degree value by 0.0174532925. For example, 1 ° = 0.0174532925 rad.
What is the formula for Degrees to Radians?
The conversion formula is rad = ° × 0.0174532925. Conversely, to convert back: ° = rad × 57.29577951.
What is a Degree?
The most common unit of angle measurement. One full rotation equals 360 degrees. Used in everyday applications, navigation, and education.
What is a Radian?
The SI unit for measuring angles. Defined as the angle subtended at the center of a circle by an arc equal to the radius. One full rotation equals 2π radians.
Is this converter accurate?
Yes, the converter uses mathematically precise conversion factors. For example, 1 radian = 180/π degrees. Results are accurate for scientific and engineering applications.
Can I convert other angle units?
Yes, use the dropdown menus to select from many angle units including Degrees, Radians, Gradians, Turns, Arc Minutes, Arc Seconds, and more.
Does this work offline?
Once the page loads, all calculations happen in your browser. However, you need an internet connection for the initial page load.
No comments yet. Be the first to comment!