Multiply radians by 180/π (about 57.2958) to get degrees. One radian is the angle where the arc length equals the radius.
How to use the Radians to Degrees Converter
- Type the number of radians into the Radians field. Decimals such as 0.5 are fine.
- Read the answer in Degrees – it updates as you type, with no button to press.
- To convert the other way, type into Degrees and the radians are recalculated.
- Press Copy results to copy both values with the page title, or Copy link to share this exact conversion.
This page converts only rad ⇄ °. Need a different unit? Use the general angle converter, where you can choose any “from” and “to” unit.
How it works
Both units measure angle, so they are always in the same ratio: one radian equals 57.29578 degrees. The calculator multiplies the number of radians you type by 57.29578 to give degrees, and when you type into the degrees field it divides by the same factor to give radians. Because the ratio never changes, doubling the radians always doubles the degrees. Results are calculated at full precision and rounded only for display (up to eight decimal places, with very large or small values shown in scientific notation).
How to convert radians to degrees
- Write down the value in radians, for example 1 rad.
- Multiply by the conversion factor 57.29578 (because 1 radian = 57.29578 °).
- 1 × 57.29578 = 57.29578 °.
- To go back from degrees to radians, divide by 57.29578 – or multiply by 0.017453293.
rad to ° conversion table
| Radians | Degrees | Degrees | Radians |
|---|---|---|---|
| 0.1 rad | 5.729578 ° | 1 ° | 0.017453293 rad |
| 0.5 rad | 28.64789 ° | 2 ° | 0.034906585 rad |
| 0.7854 rad | 45.000105 ° | 5 ° | 0.087266463 rad |
| 1 rad | 57.29578 ° | 10 ° | 0.17453293 rad |
| 1.5708 rad | 90.00021 ° | 20 ° | 0.34906585 rad |
| 2 rad | 114.59156 ° | 50 ° | 0.87266463 rad |
| 3.1416 rad | 180.00042 ° | 100 ° | 1.7453293 rad |
| 4.7124 rad | 270.00063 ° | 1,000 ° | 17.453293 rad |
| 6.2832 rad | 360.00084 ° |
What is a radian?
The radian is the SI unit of angle: the angle at which an arc equals the radius. A full circle is 2π radians, about 6.283.
What is a degree?
A degree is 1/360 of a full turn. Navigation, construction and geometry use degrees.
Quick mental conversion
For a fast estimate, multiply radians by about 57 to get degrees; the error is about 0.5%. Use the calculator above when you need the exact figure.
Common mistakes to avoid
Feeding degrees into a calculator set to radians (or the reverse), and reading decimal degrees as degrees and minutes.
Formula
1 rad = 57.29578 °1 ° = 0.017453293 rad° = rad × 57.29578Worked example
Inputs — Radians: 1 rad.
Results — Degrees = 57.29577951 °.
Frequently asked questions
How many degrees is 1 radian?
About 57.2958°.
How many degrees is π/4?
45°.
How do I convert radians to degrees?
Multiply the number of radians by 57.29578. For example, 1 rad × 57.29578 = 57.29578 °.
How do I convert degrees back to radians?
Divide by 57.29578 (or multiply by 0.017453293), or simply type the value into the degrees field above.
What is 2 rad in degrees?
2 rad = 114.59156 °.
Is this conversion exact?
Yes. The factor comes from the official definitions of both units (NIST and the SI), so the only difference you may see is rounding in the last displayed digit.
Can I convert to other units on this page?
This page converts only between radians and degrees. To pick any angle unit, use the general angle converter linked under Related calculators.
What formula does the Radians to Degrees Converter use?
1 rad = 57.29578 °.