How to convert radians to degrees
One radian equals 57.2958 degrees, so multiply the number of radians by 57.2958:
° = rad × 57.2958
rad = ° ÷ 57.2958 (1 ° = 0.017453 rad)
Example: 0.5236 rad → 0.5236 × 57.2958 = 30.0001 °.
Going the other way, divide by 57.2958, or multiply by 0.017453; the degrees to radians converter does it for you.
Everyday values
| Radians | Degrees | For example |
|---|---|---|
| 0.5236 rad | 30.0001 ° | π/6 (30°) |
| 0.7854 rad | 45.0001 ° | π/4 (45°) |
| 1 rad | 57.2958 ° | one radian |
| 1.5708 rad | 90.0002 ° | π/2 (90°) |
| 3.1416 rad | 180 ° | π (180°) |
When you need this conversion
Multiply radians by 180/π (57.2958) to get degrees. One radian is the angle where the arc length equals the radius, about 57.3°.
Radian to degree conversion table
| rad | ° | rad | ° |
|---|---|---|---|
| 0.25 rad | 14.3239 ° | 3.25 rad | 186.211 ° |
| 0.5 rad | 28.6479 ° | 3.5 rad | 200.535 ° |
| 0.75 rad | 42.9718 ° | 3.75 rad | 214.859 ° |
| 1 rad | 57.2958 ° | 4 rad | 229.183 ° |
| 1.25 rad | 71.6197 ° | 4.25 rad | 243.507 ° |
| 1.5 rad | 85.9437 ° | 4.5 rad | 257.831 ° |
| 1.75 rad | 100.268 ° | 4.75 rad | 272.155 ° |
| 2 rad | 114.592 ° | 5 rad | 286.479 ° |
| 2.25 rad | 128.916 ° | 5.25 rad | 300.803 ° |
| 2.5 rad | 143.239 ° | 5.5 rad | 315.127 ° |
| 2.75 rad | 157.563 ° | 5.75 rad | 329.451 ° |
| 3 rad | 171.887 ° | 6 rad | 343.775 ° |
About the units
- Radian (rad): the angle at which the arc equals the radius; a full turn is 2π radians.
- Degree (°): 1/360 of a full turn.
Both are units of angle. The conversion factor comes from the exact definitions above, so the calculator is exact; results are only rounded for display (up to six significant digits).
Frequently asked questions
How many degrees are in one radian?
One radian is 57.2958 degrees. One degree is 0.017453 radians.
How do I convert radians to degrees?
Multiply the value in radians by 57.2958. To go back, divide by 57.2958.
What is 0.5236 rad in degrees?
0.5236 rad = 30.0001 °.
What is 0.7854 rad in degrees?
0.7854 rad = 45.0001 °.
Sources
- NIST Special Publication 811 (2008), Guide for the Use of the International System of Units (SI), Appendix B: conversion factors.
- NIST Handbook 44 (2024), Appendix C: General tables of units of measurement.
Last reviewed 5 October 2026. Results are estimates; see our disclaimer.