Radians to Degrees Converter
Convert radians to degrees.
Result
0
Degrees
1 Radians = 57.2958 Degrees
How to convert Radians to Degrees?
Radians and degrees measure angles. The relationship is:
- π radians = 180°
- 1 radian = 180/π degrees
To convert Radians to Degrees, multiply radians by 180/π.
Formula: Degrees = Radians × (180 ÷ π)
Step-by-Step Calculation
- Take the number of Radians you want to convert (e.g., π/2).
- Multiply that value by 180/π.
- The result is the value in Degrees. (Example: (π/2) × 180/π = 90°).
How to use this converter?
Enter radians and instantly get degrees—useful for geometry, navigation, and when you need degree-based angles.
Common Radians to Degrees Conversions
Quick reference guide for common radian values.
0 = 0°
π/6 = 30°
π/4 = 45°
π/3 = 60°
π/2 = 90°
2π/3 = 120°
π = 180°
3π/2 = 270°
2π = 360°
1 rad ≈ 57.2958°
Tip: Keep π for exact answers
In math, radian values often include π. Converting using 180/π preserves the exact relationship.
Common Radians to Degrees Conversions
| Radians Input | Degrees Result |
|---|---|
| 0 | 0° |
| π/6 | 30° |
| π/4 | 45° |
| π/3 | 60° |
| π/2 | 90° |
| 2π/3 | 120° |
| π | 180° |
| 3π/2 | 270° |
| 2π | 360° |
| 1 rad | 57.2958° |
Frequently Asked Questions
How do I convert radians to degrees?
Multiply radians by 180/π to get degrees.
How many degrees is π radians?
π radians equals 180°.
How many degrees is π/2 radians?
π/2 radians equals 90°.
What is 1 radian in degrees?
1 radian is approximately 57.2958°.
Is 57.2958 exact?
It’s a rounded decimal value of 180/π. The exact conversion uses 180/π.
