Convert Radians to Degrees
One radian equals 57.29578 degrees. Type any value to convert radians to degrees instantly — with a full reference table below.
Convert Radians to Degrees
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How to convert Radians to Degrees
To convert radians to degrees, multiply by 57.29578. One radian equals 57.29578 °, and one degree equals 0.0174533 rad.
- Take the value in radians — for example 7.5 rad.
- Multiply by 57.29578 (the number of degrees in one radian).
- 7.5 × 57.29578 = 429.7183 °.
Quick mental estimate: Multiply the number of radians by 57 (within 0.5% of the exact answer).
Radians to Degrees conversion table
| Radians | Degrees |
|---|---|
| 1 rad | 57.29578 ° |
| 5 rad | 286.4789 ° |
| 10 rad | 572.9578 ° |
| 15 rad | 859.4367 ° |
| 30 rad | 1,718.873 ° |
| 45 rad | 2,578.31 ° |
| 60 rad | 3,437.747 ° |
| 90 rad | 5,156.62 ° |
| 120 rad | 6,875.494 ° |
| 180 rad | 10,313.24 ° |
| 270 rad | 15,469.86 ° |
| 360 rad | 20,626.48 ° |
| Degrees | Radians |
|---|---|
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.047198 rad |
| 90 ° | 1.570796 rad |
| 120 ° | 2.094395 rad |
| 180 ° | 3.141593 rad |
| 270 ° | 4.712389 rad |
| 360 ° | 6.283185 rad |
About converting Radians to Degrees
Radians (rad) and Degrees (°) are both units of angle. The exact factor is 1 rad = 57.29578 °, so multiply by 57.29578 to go from radians to degrees (or divide to go back).
The conversion runs entirely in your browser. Need the reverse? Use the Degrees to Radians converter, or the full unit converter for every unit at once.
Real-world angle in radians and degrees
| Example | Radians | Degrees |
|---|---|---|
| A 1:12 wheelchair ramp (ADA) | 0.0831412 rad | 4.763641 ° |
| A 4/12 roof pitch | 0.321751 rad | 18.43495 ° |
| Earth's axial tilt | ≈ 0.409105 rad | ≈ 23.44 ° |
| A right angle | 1.570796 rad | 90 ° |
| A straight angle | 3.141593 rad | 180 ° |
| A full turn | 6.283185 rad | 360 ° |
“≈” marks typical values; the rest are defined or measured figures.
The units
The SI unit of angle: the angle whose arc equals the radius; a full turn is 2π.
Used for: Maths, physics and programming (Math.sin uses radians).
1/360 of a full turn.
Used for: Geometry, navigation and construction.
A full turn is 360°, 2π radians or 400 gradians; the radian factor is irrational, so it is shown rounded.