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Radians to Degrees (rad to °)
Convert radians to degrees: 1 rad = 57.2958 °. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 rad = 57.2958 °
degrees = radians × 57.29577951 — reverse: radians = degrees × 0.01745329252
The factor is derived from the SI definitions of both units (base unit: rad) as listed in NIST SP 811; results on this page are shown to 6 significant figures, the API returns up to 12.
Worked examples
- 5 rad = 286.479 °
- 12.5 rad = 716.197 °
- 100 rad = 5729.58 °
Radians to degrees conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 1 | 57.2958 |
| 2 | 114.592 |
| 3 | 171.887 |
| 4 | 229.183 |
| 5 | 286.479 |
| 6 | 343.775 |
| 7 | 401.07 |
| 8 | 458.366 |
| 9 | 515.662 |
| 10 | 572.958 |
| 15 | 859.437 |
| 20 | 1145.92 |
| 25 | 1432.39 |
| 30 | 1718.87 |
| 40 | 2291.83 |
| 50 | 2864.79 |
| 75 | 4297.18 |
| 100 | 5729.58 |
| 200 | 11459.2 |
| 250 | 14323.9 |
| 500 | 28647.9 |
| 1000 | 57295.8 |
FAQ
How many degrees are in one radian?
1 rad = 57.2958 °. The factor comes from the SI definitions of both units (NIST SP 811 / BIPM), so it is exact or correct to at least 10 significant figures.
What is the formula to convert radians to degrees?
Multiply the value in radians by 57.29577951: degrees = radians × 57.29577951. For example, 5 rad = 286.479 °.
How do I convert degrees back to radians?
Multiply by the inverse factor 0.01745329252 (radians = degrees × 0.01745329252), or use the degrees-to-radians page.
Related conversions
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=rad&to_unit=deg - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"rad","to_unit":"deg"} - Markdown: https://tttkmbb.com/conversion/radians-to-degrees.md · JSON: https://tttkmbb.com/conversion/radians-to-degrees.json (add
?value=for a result) · Units: /api/v1/units?quantity=angle - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.