Turn to Degree (turn to °)
Result
360 Degree
Formula
° = turn × 360
1 turn = 360 °, and 1 ° = 0.002777777778 turn.
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 turn × 360 = 360 °
- 10 turn × 360 = 3,600 °
- 100 turn × 360 = 36,000 °
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.
Turn to Degree table
| Turn (turn) | Degree (°) |
|---|---|
| 1 | 360 |
| 2 | 720 |
| 5 | 1,800 |
| 10 | 3,600 |
| 20 | 7,200 |
| 50 | 18,000 |
| 100 | 36,000 |
| 1,000 | 360,000 |
The units
- Turn (turn)
- 1 Turn = 360 Degree.
- Degree (°)
- A unit of angle.
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