Degrees to Radians Converter
Instantly convert Degrees (°) to Radians (rad). Essential for mathematics, physics, engineering, and programming when converting degree angles to radians.
Quick Reference
How to Convert Degrees to Radians
To convert Degrees to Radians, use this formula:
rad = degrees × π/180
Example: Converting 180 ° to Radians gives you 3.14159 rad (π). Just enter your own value in the converter above for an instant result.
Degrees to Radians Conversion Table
Common Degrees to Radians values at a glance — use this as a quick lookup reference:
| Degrees (°) | Radians (rad) |
|---|---|
| 0 ° | 0 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 135 ° | 2.3562 rad |
| 150 ° | 2.618 rad |
| 180 ° | 3.1416 rad |
| 270 ° | 4.7124 rad |
| 360 ° | 6.2832 rad |
When to Use Degrees to Radians Conversion
Essential for mathematics, physics, engineering, and programming when converting degree angles to radians. Here are the most common scenarios where you will need this conversion:
About Degrees and Radians
One degree equals π/180 radians (approximately 0.01745 radians). Radians are the SI unit for angles, used universally in mathematics and physics. Trigonometric functions in most programming languages (sin, cos, tan) require radians as input — a common source of bugs when angle values are accidentally left in degrees. A full circle is 2π radians = 360°. Engineers calculating rotation, circular motion, and oscillation always work in radians for formula compatibility.
Related Angle Conversions
All Degrees to Radians Values
Click any specific value below for a dedicated conversion page with formula, table, and nearby values: