Degrees to Radians Converter
Convert degrees to radians and radians to degrees — with the exact π expression, decimal value, and a reference table of common angles.
Common Angles Reference
| Degrees | Radians (π) | Radians (decimal) |
|---|---|---|
| 0° | 0 | 0 |
| 30° | π/6 | 0.5236 |
| 45° | π/4 | 0.7854 |
| 60° | π/3 | 1.0472 |
| 90° | π/2 | 1.5708 |
| 120° | 2π/3 | 2.0944 |
| 180° | π | 3.1416 |
| 270° | 3π/2 | 4.7124 |
| 360° | 2π | 6.2832 |
What Does This Tool Do?
Convert between degrees and radians in both directions. Shows the exact value in terms of π for common angles, the decimal equivalent, and includes a full reference table of common angle conversions.
Key Features
Both Directions
Degrees → Radians and Radians → Degrees.
π Expression
Shows exact π fraction for common angles.
Reference Table
Common angles from 0° to 360° included.
Live
Updates as you type.
How to Use
- Select the conversion direction.
- Enter your angle value.
- Read the result including the exact π expression where applicable.
Frequently Asked Questions
What is the formula for degrees to radians?▾
Radians = Degrees × π / 180. Reverse: Degrees = Radians × 180 / π.
Why are radians used in mathematics?▾
Radians are the natural unit of angular measure. Many mathematical formulas (derivatives of trig functions, arc length, etc.) are simpler and more elegant in radians than degrees.
What is π radians?▾
π radians = 180°. One full rotation = 2π radians = 360°. So 1 radian ≈ 57.296°.
Complete Guide to Degrees to Radians Converter
When To Use This Tool
Use Degrees to Radians Converter whenever you need fast, accurate output without installing software. This tool is designed for speed, clarity, and repeatable results for day-to-day work.
Best Practices for Accurate Results
- Double-check the format of your input before running the tool.
- Test with a small sample first, then process larger data.
- Use Related Tools to verify, convert, or transform the output.
Why Users Prefer AdeDX
AdeDX tools are browser-based, free to use, and built to work across desktop and mobile devices. Most processing happens directly in your browser for fast performance and improved privacy.