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Degrees to Gradians (° to grad)
Convert degrees to gradians: 1 ° = 1.11111 grad. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 ° = 1.11111 grad
gradians = degrees × 1.111111111 — reverse: degrees = gradians × 0.9
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 ° = 5.55556 grad
- 12.5 ° = 13.8889 grad
- 100 ° = 111.111 grad
Degrees to gradians conversion table
| Degrees (°) | Gradians (grad) |
|---|---|
| 1 | 1.11111 |
| 2 | 2.22222 |
| 3 | 3.33333 |
| 4 | 4.44444 |
| 5 | 5.55556 |
| 6 | 6.66667 |
| 7 | 7.77778 |
| 8 | 8.88889 |
| 9 | 10 |
| 10 | 11.1111 |
| 15 | 16.6667 |
| 20 | 22.2222 |
| 25 | 27.7778 |
| 30 | 33.3333 |
| 40 | 44.4444 |
| 50 | 55.5556 |
| 75 | 83.3333 |
| 100 | 111.111 |
| 200 | 222.222 |
| 250 | 277.778 |
| 500 | 555.556 |
| 1000 | 1111.11 |
FAQ
How many gradians are in one degree?
1 ° = 1.11111 grad. 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 gradians?
Multiply the value in degrees by 1.111111111: gradians = degrees × 1.111111111. For example, 5 ° = 5.55556 grad.
How do I convert gradians back to degrees?
Multiply by the inverse factor 0.9 (degrees = gradians × 0.9), or use the gradians-to-degrees page.
Related conversions
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=deg&to_unit=grad - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"deg","to_unit":"grad"} - Markdown: https://tttkmbb.com/conversion/degrees-to-gradians.md · JSON: https://tttkmbb.com/conversion/degrees-to-gradians.json (add
?value=for a result) · Units: /api/v1/units?quantity=angle - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.