Radian to Degree Converter (rad to °)
1 radian = 57.2958 degree. A full circle is 360 degrees or 2π radians, so 180 degrees is π radians.
Result
1 rad = 57.29578 °
How to convert radian to degree
A full circle is 360 degrees or 2π radians, so 180 degrees is π radians. Degrees are used in everyday geometry and navigation, while radians are the natural unit in calculus, physics and programming.
Formula
° = rad × 57.2958
Worked example
1 rad × 57.2958 = 57.2958 °
Radian to Degree quick-reference table
| Radian (rad) | Degree (°) |
|---|---|
| 0.5 rad | 28.6479 ° |
| 1 rad | 57.2958 ° |
| 1.5708 rad | 90.0002 ° |
| 3.14159 rad | 180 ° |
| 4.71239 rad | 270 ° |
| 6.28319 rad | 360 ° |
Real-life examples
An angle of 1 radian is 57.2958 degrees, and 2π radians is a full 360 degree turn.
Frequently asked questions
What is the formula to convert degrees to radians?
Multiply by π/180. For example 45 degrees x π/180 = 0.7854 rad.
How many degrees is 1 radian?
1 radian is 180/π, which is about 57.2958 degrees.
What is 1 radian in degree?
1 radian = 57.2958 degree (rad to °).
What is the formula to convert rad to °?
° = rad × 57.2958. For example, 1 rad × 57.2958 = 57.2958 °.
How do I convert ° back to rad?
Use the reverse converter: 1 degree = 0.0174533 radian. Check: 57.2958 ° converts back to 1 rad.
Reverse conversion
Need the other direction? Degree to Radian converter (° to rad): 1 degree = 0.0174533 radian.
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