Convert Turns to Degrees (°)
1 turn equals 360 degrees.
Turn to Degree Converter
What Is a Turn?
The turn (also called revolution, cycle, or full rotation) is a unit of angle equal to a complete rotation: 360 degrees, 2π radians, or 400 gradians. It is used in mechanical engineering (bolt torque specs), robotics (servo positioning), and sports (figure skating jumps).
What Is a Degree?
The degree (°) is the most common unit of angular measurement, equal to 1/360 of a full rotation. Originating from Babylonian astronomy, degrees are used in navigation, construction, mathematics, and everyday language ("180° turn").
Turns to Degrees Formula
The conversion is exact by definition:
degrees = turns × 360
One full turn = 360° exactly. This has been the standard since the Babylonians divided the circle into 360 parts around 2000 BCE.
Worked Example
Convert 0.25 turns (a quarter turn) to degrees:
- Multiply: 0.25 × 360 = 90°
Common Turns to Degrees Conversions
| Turns | Degrees | Context |
|---|---|---|
| 0.01 turn | 3.6° | Fine adjustment knob increment |
| 0.025 turn | 9° | 1/40 turn (clock minute hand per minute) |
| 0.05 turn | 18° | Small rotational adjustment |
| 0.1 turn | 36° | 1/10 turn |
| 0.125 turn | 45° | ⅛ turn |
| 0.25 turn | 90° | Quarter turn (right angle) |
| 0.333 turn | 120° | ⅓ turn (equilateral triangle vertex) |
| 0.5 turn | 180° | Half turn (U-turn / straight line) |
| 0.75 turn | 270° | ¾ turn |
| 1 turn | 360° | Full rotation |
| 1.5 turns | 540° | 1½ rotations (figure skating) |
| 2 turns | 720° | Double rotation (double axel) |
When You Need This Conversion
- Mechanical torque specs: Bolt tightening instructions often specify "torque to X ft-lbs, then turn ¼ turn" (90° additional). Cylinder head bolts commonly require 90° (¼ turn) angle tightening after initial torque.
- Robotics and servos: Servo motors are commanded in degrees (0-360°), but motion planning may describe rotations in turns. A 2.5-turn rotation = 900°.
- Figure skating: Jump types are defined by turns: single (1 turn = 360°), double (2 turns = 720°), triple (3 turns = 1,080°), quad (4 turns = 1,440°).
Frequently Asked Questions
How many degrees in a full turn?
Exactly 360 degrees. This is the definition — one turn = one full rotation = 360°.
What is a quarter turn in degrees?
90 degrees (360 ÷ 4). A quarter turn is a right angle. Also equals π/2 radians or 100 gradians.
Are turns and revolutions the same?
Yes — 1 turn = 1 revolution = 1 cycle = 360°. The terms are interchangeable. RPM (revolutions per minute) = turns per minute.
What is a half turn in radians?
A half turn = 180° = π radians (approximately 3.14159). A full turn = 2π radians.
Turns to degrees Conversion Table
Reference table with common turns to degrees conversions. All values calculated with high precision.
Turns to Degrees Table
1 to 100000
Degrees to Turns Table
0.1 to 500
Degrees to Turns Table
1000 to 1 × 108
Looking for the reverse? Convert Degree to Turn
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- Hertz to RPM — 360° = 1 full revolution
