Radians to Degrees Conversion Chart
Quick Answer
1 rad = 57.2958 °
Formula: Degree = Radian x 57.2958
Quick values
Standards and method
Values are calculated from the shared conversion-factor library. Exact defined relationships are preserved; displayed results are rounded only for readability.
Maintained by Miguel Coelho. Updated . See our editorial policy.
Printable radians to degrees conversion chart
Radians to degrees from 0.05 to 6.30 rad, with multiples of π. Includes the exact definition, formulas, a worked example and sources. Conversion values are checked against the defining constants, and reference data is cited to its source, before the PDF is published.
Free to print, share and use in teaching materials with attribution (CC BY 4.0).
Radians to Degrees Conversion Table
| Radian (rad) | Degree (°) |
|---|---|
| 0.1 rad | 5.72958 ° |
| 0.25 rad | 14.3239 ° |
| 0.5 rad | 28.6479 ° |
| 0.75 rad | 42.9718 ° |
| 1 rad | 57.2958 ° |
| 1.5 rad | 85.9437 ° |
| 2 rad | 114.592 ° |
| 2.5 rad | 143.239 ° |
| 3 rad | 171.887 ° |
| 3.5 rad | 200.535 ° |
| 4 rad | 229.183 ° |
| 4.5 rad | 257.831 ° |
| 5 rad | 286.479 ° |
| 5.5 rad | 315.127 ° |
| 6 rad | 343.775 ° |
| 6.5 rad | 372.423 ° |
Values are calculated from the shared conversion-factor library. Exact defined relationships are preserved; displayed results are rounded only for readability.
Full radians to degrees conversion chart
Radians to degrees from 0.05 to 6.30 rad, with multiples of π. These are the same tables as the printable PDF. For: Students, programmers, engineers and physicists.
- Exact definition
- π rad = 180° exactly, so 1 rad = 57.295 78°
- Formula
- ° = rad × 180 ÷ π
- Reverse
- rad = ° × π ÷ 180
- Worked example
- 2 rad × 57.29578 = 114.59°
- Rounding
- Degrees are rounded to 3 decimal places.
Multiples of π
| Radians | Radians (rad) | Degrees (°) |
|---|---|---|
| π/6 | 0.523599 | 30 |
| π/4 | 0.785398 | 45 |
| π/3 | 1.047198 | 60 |
| π/2 | 1.570796 | 90 |
| 2π/3 | 2.094395 | 120 |
| 3π/4 | 2.356194 | 135 |
| Radians | Radians (rad) | Degrees (°) |
|---|---|---|
| 5π/6 | 2.617994 | 150 |
| π | 3.141593 | 180 |
| 5π/4 | 3.926991 | 225 |
| 3π/2 | 4.712389 | 270 |
| 7π/4 | 5.497787 | 315 |
| 2π | 6.283185 | 360 |
0.05 to 6.30 rad
| Radians (rad) | Degrees (°) |
|---|---|
| 0.05 | 2.865 |
| 0.10 | 5.730 |
| 0.15 | 8.594 |
| 0.20 | 11.459 |
| 0.25 | 14.324 |
| 0.30 | 17.189 |
| 0.35 | 20.054 |
| 0.40 | 22.918 |
| 0.45 | 25.783 |
| 0.50 | 28.648 |
| 0.55 | 31.513 |
| 0.60 | 34.377 |
| 0.65 | 37.242 |
| 0.70 | 40.107 |
| 0.75 | 42.972 |
| 0.80 | 45.837 |
| 0.85 | 48.701 |
| 0.90 | 51.566 |
| 0.95 | 54.431 |
| 1.00 | 57.296 |
| 1.05 | 60.161 |
| 1.10 | 63.025 |
| 1.15 | 65.890 |
| 1.20 | 68.755 |
| 1.25 | 71.620 |
| 1.30 | 74.485 |
| 1.35 | 77.349 |
| 1.40 | 80.214 |
| 1.45 | 83.079 |
| 1.50 | 85.944 |
| 1.55 | 88.808 |
| 1.60 | 91.673 |
| 1.65 | 94.538 |
| 1.70 | 97.403 |
| 1.75 | 100.268 |
| 1.80 | 103.132 |
| 1.85 | 105.997 |
| 1.90 | 108.862 |
| 1.95 | 111.727 |
| 2.00 | 114.592 |
| 2.05 | 117.456 |
| 2.10 | 120.321 |
| Radians (rad) | Degrees (°) |
|---|---|
| 2.15 | 123.186 |
| 2.20 | 126.051 |
| 2.25 | 128.916 |
| 2.30 | 131.780 |
| 2.35 | 134.645 |
| 2.40 | 137.510 |
| 2.45 | 140.375 |
| 2.50 | 143.239 |
| 2.55 | 146.104 |
| 2.60 | 148.969 |
| 2.65 | 151.834 |
| 2.70 | 154.699 |
| 2.75 | 157.563 |
| 2.80 | 160.428 |
| 2.85 | 163.293 |
| 2.90 | 166.158 |
| 2.95 | 169.023 |
| 3.00 | 171.887 |
| 3.05 | 174.752 |
| 3.10 | 177.617 |
| 3.15 | 180.482 |
| 3.20 | 183.346 |
| 3.25 | 186.211 |
| 3.30 | 189.076 |
| 3.35 | 191.941 |
| 3.40 | 194.806 |
| 3.45 | 197.670 |
| 3.50 | 200.535 |
| 3.55 | 203.400 |
| 3.60 | 206.265 |
| 3.65 | 209.130 |
| 3.70 | 211.994 |
| 3.75 | 214.859 |
| 3.80 | 217.724 |
| 3.85 | 220.589 |
| 3.90 | 223.454 |
| 3.95 | 226.318 |
| 4.00 | 229.183 |
| 4.05 | 232.048 |
| 4.10 | 234.913 |
| 4.15 | 237.777 |
| 4.20 | 240.642 |
| Radians (rad) | Degrees (°) |
|---|---|
| 4.25 | 243.507 |
| 4.30 | 246.372 |
| 4.35 | 249.237 |
| 4.40 | 252.101 |
| 4.45 | 254.966 |
| 4.50 | 257.831 |
| 4.55 | 260.696 |
| 4.60 | 263.561 |
| 4.65 | 266.425 |
| 4.70 | 269.290 |
| 4.75 | 272.155 |
| 4.80 | 275.020 |
| 4.85 | 277.885 |
| 4.90 | 280.749 |
| 4.95 | 283.614 |
| 5.00 | 286.479 |
| 5.05 | 289.344 |
| 5.10 | 292.208 |
| 5.15 | 295.073 |
| 5.20 | 297.938 |
| 5.25 | 300.803 |
| 5.30 | 303.668 |
| 5.35 | 306.532 |
| 5.40 | 309.397 |
| 5.45 | 312.262 |
| 5.50 | 315.127 |
| 5.55 | 317.992 |
| 5.60 | 320.856 |
| 5.65 | 323.721 |
| 5.70 | 326.586 |
| 5.75 | 329.451 |
| 5.80 | 332.316 |
| 5.85 | 335.180 |
| 5.90 | 338.045 |
| 5.95 | 340.910 |
| 6.00 | 343.775 |
| 6.05 | 346.639 |
| 6.10 | 349.504 |
| 6.15 | 352.369 |
| 6.20 | 355.234 |
| 6.25 | 358.099 |
| 6.30 | 360.963 |
Sources for this chart
Conversion values on this sheet are generated by the AllUnitConversions conversion library and automatically checked against the exact definitions above before the PDF is produced; reference tables are taken from the sources listed.
- BIPM SI Brochure, 9th edition — Definitions of the SI units, including the kelvin
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Related Converters & Charts
Radians to Degrees Conversion Chart FAQs
Common questions about the radians to degrees conversion chart.
How do you convert radian to degree?
Multiply the number of radian by 57.2958. For example, 1 rad = 57.2958 °. The chart above lists the most common values.
What is 1 rad in degree?
1 rad equals 57.2958 °. See the full reference table above for more values, or download the printable PDF.
What exact definition is this radians to degrees chart based on?
π rad = 180° exactly, so 1 rad = 57.295 78°. Formula: ° = rad × 180 ÷ π. Degrees are rounded to 3 decimal places.
Can I download this chart as a PDF, CSV, or JSON?
Yes. Use the Download A4 PDF or US Letter PDF buttons for a printable version, or download the same tables as CSV or JSON from the links on this page.