Convert radians to degrees
Converting radians to degrees is a common angle task, whether you are checking a recipe, a spec sheet, a travel distance or a homework problem. Since 1 rad equals 57.2958 °, the math is a single multiplication — and this page does it for you instantly, with the formula, a table of common values and answers to the questions people ask most.
Exact factor
How to convert radians to degrees
To convert radians to degrees, multiply the number of radians by 57.2958. For example, 10 rad × 57.2958 = 572.958 °.
° = rad × 57.2958
- Write down the value in radians you want to convert.
- Multiply it by 57.2958 (the exact rad→° factor).
- The result is your value in degrees. Check it below with the converter or the table.
Conversion table
Common values of radians and their equivalents in degrees:
| rad | ° |
|---|---|
| 1 | 57.2958 |
| 2 | 114.592 |
| 3 | 171.887 |
| 4 | 229.183 |
| 5 | 286.479 |
| 10 | 572.958 |
| 20 | 1,145.92 |
| 25 | 1,432.39 |
| 50 | 2,864.79 |
| 100 | 5,729.58 |
| 250 | 14,323.9 |
| 500 | 28,647.9 |
About these units
Radian (rad). A radian is the angle subtended by an arc equal in length to the radius, with π radians in a half circle (about 57.2958°). It is the natural angle unit in mathematics and programming.
Degree (°). A degree is 1/360 of a full circle, the everyday angle unit inherited from Babylonian astronomy. Maps, compasses, geometry classes and weather use degrees.
Frequently asked questions
How do I convert radians to degrees?
To convert radians to degrees, multiply the number of radians by 57.2958. For example, 10 rad × 57.2958 = 572.958 °. Or skip the math: type the value into the converter at the top of this page and the result updates instantly.
How many degrees are in 1 radian?
1 rad = 57.2958 °. That is the fixed relationship used by this converter and by international standards.
How many radians are in 1 degree?
1 ° = 0.0174533 rad. If you are converting in the opposite direction, use our Degree to Radian converter for the dedicated table and FAQ.
Is the radians to degrees conversion exact?
Yes. Both units are defined by international agreement, so the factor of 57.2958 is exact. Displayed results are rounded to 6 significant digits only for readability.
What is radian used for?
A radian is the angle subtended by an arc equal in length to the radius, with π radians in a half circle (about 57.2958°). It is the natural angle unit in mathematics and programming.