Home › Unit Conversion › Degrees to Milliradians
Degrees to Milliradians (° to mrad)
Convert degrees to milliradians: 1 ° = 17.4533 mrad. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 ° = 17.4533 mrad
milliradians = degrees × 17.45329252 — reverse: degrees = milliradians × 0.05729577951
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 ° = 87.2665 mrad
- 12.5 ° = 218.166 mrad
- 100 ° = 1745.33 mrad
Degrees to milliradians conversion table
| Degrees (°) | Milliradians (mrad) |
|---|---|
| 1 | 17.4533 |
| 2 | 34.9066 |
| 3 | 52.3599 |
| 4 | 69.8132 |
| 5 | 87.2665 |
| 6 | 104.72 |
| 7 | 122.173 |
| 8 | 139.626 |
| 9 | 157.08 |
| 10 | 174.533 |
| 15 | 261.799 |
| 20 | 349.066 |
| 25 | 436.332 |
| 30 | 523.599 |
| 40 | 698.132 |
| 50 | 872.665 |
| 75 | 1309 |
| 100 | 1745.33 |
| 200 | 3490.66 |
| 250 | 4363.32 |
| 500 | 8726.65 |
| 1000 | 17453.3 |
FAQ
How many milliradians are in one degree?
1 ° = 17.4533 mrad. 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 degrees to milliradians?
Multiply the value in degrees by 17.45329252: milliradians = degrees × 17.45329252. For example, 5 ° = 87.2665 mrad.
How do I convert milliradians back to degrees?
Multiply by the inverse factor 0.05729577951 (degrees = milliradians × 0.05729577951), or use the milliradians-to-degrees page.
Related conversions
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=deg&to_unit=mrad - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"deg","to_unit":"mrad"} - Markdown: https://tttkmbb.com/conversion/degrees-to-milliradians.md · JSON: https://tttkmbb.com/conversion/degrees-to-milliradians.json (add
?value=for a result) · Units: /api/v1/units?quantity=angle - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.