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°.