Convert Radians to Degrees Instantly
Type any angle in radians below and click Calculate.
Tip: You can enter integers, decimals, fractions like 3/2, or expressions like pi/4.
What Is a Radian?
A radian is a unit for measuring angles based on the radius of a circle. One radian is the angle created when the length of an arc is exactly equal to the circle’s radius. In complete rotation terms, a full circle is 2π radians, which is the same as 360°.
Radians to Degrees Formula
To convert radians to degrees, multiply the radian value by 180/π:
degrees = radians × (180 / π)
This works because π radians = 180°. So every radian corresponds to about 57.2958°.
How to Use This Calculator
- Enter your angle in radians.
- Choose how many decimal places you want in the result.
- Click Calculate to see the converted value in degrees.
- Use Clear to reset and start over.
Examples
Example 1: Convert π/2 radians
degrees = (π/2) × (180/π) = 90°
Example 2: Convert 1 radian
degrees = 1 × (180/π) ≈ 57.2958°
Example 3: Convert 2.4 radians
degrees = 2.4 × (180/π) ≈ 137.5099°
Common Radian to Degree Values
| Radians | Degrees |
|---|---|
| 0 | 0° |
| π/6 | 30° |
| π/4 | 45° |
| π/3 | 60° |
| π/2 | 90° |
| π | 180° |
| 3π/2 | 270° |
| 2π | 360° |
Where This Conversion Is Useful
Radians and degrees both appear in math, science, and engineering. You’ll commonly need conversions in:
- Trigonometry homework and exams
- Physics problems involving angular velocity
- Computer graphics and game development
- Signal processing and wave analysis
Quick FAQ
Can radians be negative?
Yes. Negative radians represent clockwise rotation, and they convert to negative degree values.
Can I input π in this calculator?
Yes. You can use entries like pi, pi/3, or 2*pi.
Does this tool round results?
Yes. It rounds based on the decimal places you choose.