Radians to Degrees Converter
Type a value in radians to see it in degrees. It works both ways: type in the degrees box to convert back.
Formula
To convert radians to degrees, multiply by 57.29577951.
1 rad = 57.2957795131 ° and 1 ° = 0.0174532925199 rad.
Radians to degrees table
| Radians | Degrees |
|---|---|
| 0.1 rad | 5.729578 ° |
| 0.5 rad | 28.64789 ° |
| 1 rad | 57.29578 ° |
| 1.5708 rad | 90.00021 ° |
| 2 rad | 114.5916 ° |
| 3.1416 rad | 180.0004 ° |
| 4.7124 rad | 270.0006 ° |
| 6.2832 rad | 360.0008 ° |
Worked examples
0.5 rad in degrees
0.5 rad
28.64789 °
0.5 × 57.29577951 = 28.64788976
2 rad in degrees
2 rad
114.5916 °
2 × 57.29577951 = 114.591559
4.7124 rad in degrees
4.7124 rad
270.0006 °
4.7124 × 57.29577951 = 270.0006314
About Radians to Degrees Converter
This converter turns radians into degrees as you type, and works the other way too: type in the degrees box to convert back. To convert radians to degrees, multiply by 57.29577951. For example, 0.5 rad is 28.64789 °, and 2 rad is 114.5916 °.
Degrees are the everyday unit for angles, but maths, physics and programming languages use radians, where a full turn is 2π. Both units have exact definitions, so the converter gives an exact result, rounded only for display. Use the table below for common values, or set the decimal places to round the answer for a form or a label.
How to use Radians to Degrees Converter
- Type the amount in radians in the first box.
- Read the answer in degrees in the second box and in the result line below.
- To convert the other way, type in the degrees box instead, or use the swap button to open the degrees to radians page.
- Choose a number of decimal places if you need a rounded figure, then copy the result line.
Common uses
- Maths and physics homework
- Engineering and CAD drawings
- Checking angles from a protractor or a design tool
- Programming with trigonometry functions
Frequently asked questions
How many degrees are in one radian?
There are 57.29577951 degrees in one radian. This figure is exact, because both units have fixed definitions.
How do I convert radians to degrees?
To convert radians to degrees, multiply by 57.29577951. For example, 4.7124 rad is 270.0006 °.
How do I convert degrees to radians?
Going the other way, divide by 57.29577951 (the same as multiplying by 0.01745329252). The degrees to radians converter does this for you.
What is 2 rad in degrees?
2 rad is 114.5916 °.
Why do programming languages use radians?
Radians make the maths of curves and circles simpler, because an angle in radians equals the arc length on a circle of radius 1. Functions like sin and cos are defined in radians, so most languages expect them.