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Degrees to Turns (revolutions) (° to turn)
Convert degrees to turns (revolutions): 1 ° = 0.00277778 turn. Exact conversion factor, formula, 22-row table and worked examples, with JSON API and MCP access.
Formula
1 ° = 0.00277778 turn
turns (revolutions) = degrees × 0.002777777778 — reverse: degrees = turns (revolutions) × 360
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 ° = 0.0138889 turn
- 12.5 ° = 0.0347222 turn
- 100 ° = 0.277778 turn
Degrees to turns (revolutions) conversion table
| Degrees (°) | Turns (revolutions) (turn) |
|---|---|
| 1 | 0.00277778 |
| 2 | 0.00555556 |
| 3 | 0.00833333 |
| 4 | 0.0111111 |
| 5 | 0.0138889 |
| 6 | 0.0166667 |
| 7 | 0.0194444 |
| 8 | 0.0222222 |
| 9 | 0.025 |
| 10 | 0.0277778 |
| 15 | 0.0416667 |
| 20 | 0.0555556 |
| 25 | 0.0694444 |
| 30 | 0.0833333 |
| 40 | 0.111111 |
| 50 | 0.138889 |
| 75 | 0.208333 |
| 100 | 0.277778 |
| 200 | 0.555556 |
| 250 | 0.694444 |
| 500 | 1.38889 |
| 1000 | 2.77778 |
FAQ
How many turns (revolutions) are in one degree?
1 ° = 0.00277778 turn. 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 turns (revolutions)?
Multiply the value in degrees by 0.002777777778: turns (revolutions) = degrees × 0.002777777778. For example, 5 ° = 0.0138889 turn.
How do I convert turns (revolutions) back to degrees?
Multiply by the inverse factor 360 (degrees = turns (revolutions) × 360), or use the turns (revolutions)-to-degrees page.
Related conversions
Machine access
- API:
GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=deg&to_unit=turn - MCP: server
https://tttkmbb.com/mcp, toolconvert_unitswith{"value":5,"from_unit":"deg","to_unit":"turn"} - Markdown: https://tttkmbb.com/conversion/degrees-to-turns.md · JSON: https://tttkmbb.com/conversion/degrees-to-turns.json (add
?value=for a result) · Units: /api/v1/units?quantity=angle - OpenAPI operationId:
convert_units. Freshness:static. Authentication: none.