Turn to Degree Converter
Convert turn to degree instantly. 1 turn = 360.0 degree.
Turn to Degree Table
| Turn | Degree |
|---|---|
| 1 turn | 360.0 ° |
| 5 turn | 1800.0 ° |
| 10 turn | 3600.0 ° |
| 30 turn | 10800.0 ° |
| 45 turn | 16200.0 ° |
| 90 turn | 32400.0 ° |
| 180 turn | 64800.0 ° |
| 360 turn | 129600.0 ° |
Related Conversions
Quick Answer
Formula: Degree = Turn × 360
Multiply any turn value by 360 to get degree.
Reverse: Turn = Degree × 0.002778
Worked Examples
Turn to Degree Conversion Table
Common turn values — factor: 1 turn = 360 °
| Turn (turn) | Degree (°) | Context |
|---|---|---|
| 0.001 turn | 0.36 ° | ~0.36° |
| 0.01 turn | 3.6 ° | 3.6° |
| 0.0833 turn | 29.99 ° | 30° |
| 0.1 turn | 36 ° | 36° |
| 0.125 turn | 45 ° | 45° |
| 0.25 turn | 90 ° | 90° right angle |
| 0.333 turn | 119.9 ° | 120° |
| 0.5 turn | 180 ° | 180° half turn |
| 0.75 turn | 270 ° | 270° |
| 1 turn | 360 ° | 360° full circle |
| 2 turn | 720 ° | Two rotations |
| 5 turn | 1800 ° | Five rotations |
| 10 turn | 3600 ° | Ten rotations |
| 100 turn | 3.6e+04 ° | 100 turns |
| 1000 turn | 3.6e+05 ° | 1,000 turns |
Mental Math Tricks
Turns × 360 = degrees. Exact.
0.25 turn = 90°, 0.5 turn = 180°, 1 turn = 360°.
Degrees ÷ 360 = turns.
Who Uses This Conversion?
Specifies gear ratios and shaft rotation counts in turns or revolutions.
Rates motor speed in RPM (turns per minute) and total shaft rotation.
Defines thread pitch as advance per turn for screws, bolts, and lead screws.
Measures mainspring tension and escapement timing in turns of the crown.
Uses turns (τ = 2π) for clean representation of periodic functions and complex numbers.
Counts spins and rotations in full turns for choreography notation.
Related Conversions
Frequently Asked Questions
About Turn and Degree
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.
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.
About Turn to Degree Conversion
Converting turn to degree 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°) = 90 °. A full circle (360°) = 360 °. Reverse: 1 ° = 0.002778 turn. Exact factor: 1 turn = 360 °.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.