# 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.

- Page id: `degrees-to-turns` · Quantity: Angle (`angle`, base unit rad) · Tool: `convert_units`
- Canonical page: https://tttkmbb.com/conversion/degrees-to-turns · This document: https://tttkmbb.com/conversion/degrees-to-turns.md · JSON: https://tttkmbb.com/conversion/degrees-to-turns.json (add `?value=` for a result)

## Formula

- `1 ° = 0.00277778 turn`
- `turns (revolutions) = degrees × 0.002777777778`
- Reverse: `degrees = turns (revolutions) × 360`

The factor follows from the SI definitions of both units (NIST SP 811); values below are rounded 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

## 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 |

## API

- `GET https://tttkmbb.com/api/v1/convert?value=5&from_unit=deg&to_unit=turn` → unified JSON envelope with `result.values.result`, `formula`, `factor`, `sources`, `freshness`
- MCP: server `https://tttkmbb.com/mcp`, tool `convert_units` with `{"value":5,"from_unit":"deg","to_unit":"turn"}`
- All angle units: https://tttkmbb.com/api/v1/units?quantity=angle · full converter: [Angle Converter](https://tttkmbb.com/conversion/angle.md)
- Authentication: none. Freshness: `static` (fixed conversion factors).

## 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

- [Turns (revolutions) to degrees](https://tttkmbb.com/conversion/turns-to-degrees.md) (reverse)
- [Degrees to Radians](https://tttkmbb.com/conversion/degrees-to-radians.md)
- [Radians to Degrees](https://tttkmbb.com/conversion/radians-to-degrees.md)
- [Gradians to Degrees](https://tttkmbb.com/conversion/gradians-to-degrees.md)
- [Degrees to Gradians](https://tttkmbb.com/conversion/degrees-to-gradians.md)
- [Arcminutes to Degrees](https://tttkmbb.com/conversion/arcminutes-to-degrees.md)
- [Degrees to Arcminutes](https://tttkmbb.com/conversion/degrees-to-arcminutes.md)
- [Milliradians to Degrees](https://tttkmbb.com/conversion/milliradians-to-degrees.md)
- [Degrees to Milliradians](https://tttkmbb.com/conversion/degrees-to-milliradians.md)

## Data Sources

- NIST Special Publication 811 – Guide for the Use of the International System of Units (SI), Appendix B conversion factors — https://www.nist.gov/pml/special-publication-811 (standard, retrieved 2026-09-24)
- BIPM – The International System of Units (SI Brochure, 9th edition) — https://www.bipm.org/en/publications/si-brochure (standard, retrieved 2026-09-24)
- Wikipedia – Conversion of units — https://en.wikipedia.org/wiki/Conversion_of_units (reference, retrieved 2026-09-24)