Turn to Degree Converter
Enter the value that you want to convert turn (tur) to degree (°) or degree to turn.
1 turn = 360.0000000 degree
Formula: degree = turn value × 360.0000000
TUR to ° — turn to degree
10 turn = 3600.00000 degree
Popular Degree Converters:
Turn to Degree: The Essentials
Understanding the Turn
The turn (also called revolution or full rotation) represents one complete 360° cycle.
Turns are used in engineering to count rotational cycles — RPM (revolutions per minute) is effectively turns per minute. They appear in motor specifications, propeller speeds, centrifuge settings, and vinyl record playback speeds. In mathematics, the τ (tau) constant equals one turn (2π radians).
What is Degree?
Dating back to ancient Babylonian astronomy, the degree divides a full rotation into 360 equal parts.
The Babylonians used a base-60 number system and observed that the sun moved approximately one degree per day across the sky over a year. The 360° circle became universal in navigation, surveying, architecture, and education. Degrees remain the standard angle unit in everyday life — from compass bearings and map coordinates to smartphone screen rotation and camera field-of-view specifications.
Why Angle Conversions Matter
Angle conversions bridge the gap between everyday measurement (degrees) and mathematical computation (radians). A mechanical engineer designing a robotic arm needs radians for inverse kinematics. A pilot reads compass headings in degrees. A surveyor might work in gradians. Game developers convert between degrees (artist-friendly) and radians (GPU shaders) hundreds of times per frame. Understanding these conversions is essential across STEM fields, navigation, and digital media production.
turn to degree metric conversion table
| 0.01 tur | = | 3.60000 ° |
| 0.1 tur | = | 36.00000 ° |
| 1 tur | = | 360.00000 ° |
| 2 tur | = | 720.00000 ° |
| 3 tur | = | 1080.00000 ° |
| 4 tur | = | 1440.00000 ° |
| 5 tur | = | 1800.00000 ° |
| 6 tur | = | 2160.00000 ° |
| 7 tur | = | 2520.00000 ° |
| 8 tur | = | 2880.00000 ° |
| 9 tur | = | 3240.00000 ° |
| 10 tur | = | 3600.00000 ° |
| 11 tur | = | 3960.00000 ° |
| 12 tur | = | 4320.00000 ° |
| 13 tur | = | 4680.00000 ° |
| 14 tur | = | 5040.00000 ° |
| 15 tur | = | 5400.00000 ° |
| 16 tur | = | 5760.00000 ° |
| 17 tur | = | 6120.00000 ° |
| 18 tur | = | 6480.00000 ° |
| 19 tur | = | 6840.00000 ° |
| 20 tur | = | 7200.00000 ° |
| 30 tur | = | 10800.00000 ° |
| 40 tur | = | 14400.00000 ° |
| 50 tur | = | 18000.00000 ° |
| 60 tur | = | 21600.00000 ° |
| 70 tur | = | 25200.00000 ° |
| 80 tur | = | 28800.00000 ° |
| 90 tur | = | 32400.00000 ° |
| 100 tur | = | 36000.00000 ° |
| 200 tur | = | 72000.00000 ° |
| 300 tur | = | 108000.00000 ° |
| 400 tur | = | 144000.00000 ° |
| 500 tur | = | 180000.00000 ° |
| 600 tur | = | 216000.00000 ° |
| 700 tur | = | 252000.00000 ° |
| 800 tur | = | 288000.00000 ° |
| 900 tur | = | 324000.00000 ° |
| 1000 tur | = | 360000.00000 ° |
How to Convert TUR to ° (Turn to Degree)?
We can convert turn to degree by using an example.
Example:
Convert 20 Turn to Degree?
We know 1 Turn = 360.0000000 degree; 1 Degree = 0.0027778 turn.
20 turn = ___°
20 × 360.0000000 = 7200.00000 ° (we know 1 turn = 360.0000000 degree)
Answer:
20 turn = 7200.00000 degree
How to Convert Turns to Degrees
One complete turn equals exactly 360 degrees. Converting turns to degrees is simply multiplication:
- Write down the number of turns (may be a fraction or decimal).
- Multiply by 360.
- The result is the angle in degrees.
Solved Examples
Question 1: A steering wheel is turned 2.5 turns. How many degrees?
Solution:
Degrees = Turns × 360
= 2.5 × 360
= 900
Answer: 2.5 turns = 900°
Question 2: Convert 3/8 of a turn to degrees.
Solution:
Degrees = (3/8) × 360
= 1080/8
= 135
Answer: 3/8 turn = 135°
Question 3: A clock hour hand moves 1/12 turn per hour. How many degrees per hour?
Solution:
Degrees per hour = (1/12) × 360
= 30
Answer: The hour hand moves 30° per hour
Practice Questions
Try solving these on your own to test your understanding:
- Convert 4 turns to degrees. (Answer: 1440°)
- A helicopter blade completes 7.5 turns. Total degrees? (Answer: 2700°)
- Express 2/3 of a turn in degrees. (Answer: 240°)
- A gyroscope precesses 0.01 turns per second. Degrees per minute? (Answer: 3.6°/s = 216°/min)
- Convert 5/6 turn to degrees. (Answer: 300°)
Turns in Everyday Rotation
Turns are the most intuitive unit for everyday rotation: a doorknob rotates about 1/4 turn, a faucet handle about 1/4 to 1/2 turn, a jar lid about 1/2 to 1 turn, and a combination lock requires multiple precise partial turns. Clock movements: the minute hand makes 1 turn per hour, the hour hand makes 1 turn per 12 hours, and the second hand makes 1 turn per minute.
Multi-Turn Angles in Sports and Physics
Gymnastics and figure skating score rotations: a "triple axel" is 3.5 turns (1260°), a "quad" is 4 turns (1440°). In physics, angular displacement can exceed 360° — tracking total rotation rather than just position. A car tire rotating at 800 RPM for 1 minute completes 800 turns = 288,000 degrees of total angular displacement.
Key Takeaways
- Multiply turns by 360 to get degrees.
- 1/4 turn = 90°, 1/2 turn = 180°, 3/4 turn = 270°.
- Clock: hour hand = 30°/hour, minute hand = 6°/minute.
- Sports rotations: triple axel = 3.5 turns = 1260°.
- RPM × 360 = degrees per minute of rotation.
Turn to Degree Conversion Formula
degree = turn × 360.0000000
1 turn = 360.0000000 degree
1 degree = 0.0027778 turn
Reverse: turn = degree × 0.0027778
Frequently Asked Questions
How many degree are in 1 turn?
There are 360.0000000 degree in 1 turn. To convert turn to degree, multiply the value by 360.0000000.
How do I convert turn to degree?
Multiply your turn value by 360.0000000 to get the equivalent in degree. For example, 5 turn = 5 × 360.0000000 = 1800.00000 degree.
How do I convert degree to turn?
Multiply your degree value by 0.0027778 to get the equivalent in turn. Alternatively, divide by 360.0000000.
What is 10 turn in degree?
10 turn is equal to 3600.00000 degree.
What is 100 turn in degree?
100 turn is equal to 36000.00000 degree.