Degree to Turn (° to turn)
Result
0.002777777778 Turn
Formula
turn = ° × 0.002777777778
1 ° = 0.002777777778 turn, and 1 turn = 360 °.
A full turn is 360°, 2π radians or 400 gradians, so 1 rad = 180/π ° (about 57.29578°) and 1 gradian = 0.9°.
Worked examples
- 1 ° × 0.002777777778 = 0.0027777778 turn
- 10 ° × 0.002777777778 = 0.027777778 turn
- 100 ° × 0.002777777778 = 0.27777778 turn
Common mistakes
- Calculators and spreadsheet trigonometry functions usually expect radians: sin(30) in radian mode is −0.988, not 0.5.
- Compass bearings run clockwise from north; mathematical angles run anticlockwise from the positive x-axis.
Degree to Turn table
| Degree (°) | Turn (turn) |
|---|---|
| 1 | 0.0027777778 |
| 2 | 0.0055555556 |
| 5 | 0.013888889 |
| 10 | 0.027777778 |
| 20 | 0.055555556 |
| 50 | 0.13888889 |
| 100 | 0.27777778 |
| 1,000 | 2.7777778 |
The units
- Degree (°)
- A unit of angle.
- Turn (turn)
- 1 Turn = 360 Degree.
Sources for these factors
- The International System of Units (SI Brochure), 9th edition — BIPM
- Guide for the Use of the International System of Units (SP 811), Appendix B: conversion factors — NIST
Last reviewed against these sources. An automated check recomputes every factor from its definition on each build. How we check accuracy