Radians to Degrees Converter
Instantly convert Radians (rad) to Degrees (°). Used in mathematics and programming to convert radian outputs from formulas to familiar degree angles.
Quick Reference
How to Convert Radians to Degrees
To convert Radians to Degrees, use this formula:
degrees = radians × 180/π
Example: Converting 3.14159 rad to Degrees gives you 180°. Just enter your own value in the converter above for an instant result.
Radians to Degrees Conversion Table
Common Radians to Degrees values at a glance — use this as a quick lookup reference:
| Radians (rad) | Degrees (°) |
|---|---|
| 0 rad | 0 ° |
| 0.5236 rad | 30.0001 ° |
| 0.7854 rad | 45.0001 ° |
| 1.0472 rad | 60.0002 ° |
| 1.5708 rad | 90.0002 ° |
| 2.0944 rad | 120 ° |
| 2.3562 rad | 135 ° |
| 2.618 rad | 150 ° |
| 3.1416 rad | 180 ° |
| 4.7124 rad | 270 ° |
| 6.2832 rad | 360 ° |
When to Use Radians to Degrees Conversion
Used in mathematics and programming to convert radian outputs from formulas to familiar degree angles. Here are the most common scenarios where you will need this conversion:
About Radians and Degrees
One radian equals 180/π degrees (approximately 57.296°). Converting radians to degrees is needed when mathematical or programming results in radians must be expressed as the more intuitive degree measurements. Physics simulations outputting angular velocity in radians per second, GPS calculations involving arc distances in radians, and computer graphics rotation matrices in radians all need degree conversion for human communication and visualization.
Related Angle Conversions
All Radians to Degrees Values
Click any specific value below for a dedicated conversion page with formula, table, and nearby values: