Degree to Turn Converter
Convert degree to turn instantly. 1 degree = 0.002778 turn.
Degree to Turn Table
| Degree | Turn |
|---|---|
| 1 ° | 0.002778 turn |
| 5 ° | 0.013889 turn |
| 10 ° | 0.027778 turn |
| 30 ° | 0.083333 turn |
| 45 ° | 0.125 turn |
| 90 ° | 0.25 turn |
| 180 ° | 0.5 turn |
| 360 ° | 1.0 turn |
Related Conversions
Quick Answer
Formula: Turn = Degree × 0.002778
Multiply any degree value by 0.002778 to get turn.
Reverse: Degree = Turn × 360
Worked Examples
Degree to Turn Conversion Table
Common degree values — factor: 1 ° = 0.002778 turn
| Degree (°) | Turn (turn) | Context |
|---|---|---|
| 1 ° | 0.002778 turn | 1° |
| 5 ° | 0.01389 turn | 5° |
| 10 ° | 0.02778 turn | 10° |
| 15 ° | 0.04167 turn | Clock hour |
| 30 ° | 0.08333 turn | Clock half-hour |
| 45 ° | 0.125 turn | Half right angle |
| 60 ° | 0.1667 turn | Equilateral triangle |
| 90 ° | 0.25 turn | Right angle |
| 120 ° | 0.3333 turn | Obtuse |
| 135 ° | 0.375 turn | 3/8 turn |
| 180 ° | 0.5 turn | Straight line |
| 270 ° | 0.75 turn | 3/4 turn |
| 360 ° | 1 turn | Full circle |
| 720 ° | 2 turn | Two rotations |
| 1080 ° | 3 turn | Three rotations |
Mental Math Tricks
Degrees ÷ 360 = turns. Exact.
90° = 0.25 turn, 180° = 0.5 turn, 360° = 1 turn.
Turns × 360 = degrees.
Who Uses This Conversion?
Measures horizontal and vertical angles in degrees for land surveys and boundary marking.
Specifies roof pitches, staircase angles, and geometric building features in degrees.
Uses compass bearings and course headings expressed in degrees for maritime and aviation.
Learns sine, cosine, and tangent functions using degree inputs on a calculator.
Specifies shaft rotation, cam profiles, and gear engagement angles in degrees.
Reports wind direction in degrees from north (0°–360°) for weather forecasts.
Related Conversions
Frequently Asked Questions
About Degree and Turn
Degree (°)
The degree (°) divides a full circle into 360 equal parts. This system traces back to ancient Babylonian astronomy, which used a base-60 (sexagesimal) number system. The choice of 360 is practical: it is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, and 120.
Degrees remain the dominant angle unit in everyday life, navigation, surveying, and most engineering disciplines. Compass bearings, latitude and longitude, and architectural drawings all use degrees.
Interesting fact: The Babylonians may have chosen 360 because they approximated the solar year as 360 days, making each day of travel correspond to one degree of the Sun's apparent annual motion around the sky.
Turn (turn)
A turn (also called revolution or cycle) represents one complete 360° rotation. It is the most intuitive angle unit — zero ambiguity about what constitutes 'one full rotation.'
Turns are used in mechanics (RPM = revolutions per minute), engineering (screw thread pitch expressed in turns per inch), and signal processing. The number τ (tau = 2π ≈ 6.2832) represents one turn in radians — some mathematicians advocate using τ instead of π for clarity.
Interesting fact: The tau movement in mathematics argues that using τ = 2π = one full turn would make formulas like Euler's identity and Fourier transforms more intuitive than using π = half-turn.
About Degree to Turn Conversion
Converting degree to turn is essential in mathematics, physics, engineering, and surveying. Degrees are used in everyday contexts and navigation; radians are the standard in calculus and physics; gradians are common in European surveying. Having accurate conversions ensures correct results across disciplines.
Key reference: a right angle (90°) = 0.25 turn. A full circle (360°) = 1 turn. Reverse: 1 turn = 360 °. Exact factor: 1 ° = 0.002778 turn.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.