In 1 degrees there are 0.002778 turns. Meanwhile in 1 turns there are 360 degrees. Keep reading to learn more about each unit of measure and how they are calculated. Or just use the Turns to Degrees calculator above to convert any number.
* Values rounded to 6 decimal places for readability
To convert degrees to turns, use this simple rule: 1 full turn = 360 degrees. A turn means one complete rotation.
Formula (degrees to turns):
Quick examples:
Use this conversion any time you need to change an angle from degrees (°) into turns (rev) for rotation, circles, or angular motion.
A turn is a full rotation around a point. One complete turn equals 360 degrees. Turns make it easy to describe rotations in a simple way.
Divide the number of degrees by 360.
Formula: turns = degrees ÷ 360
Use this conversion every time:
turns = degrees / 360
It works for whole numbers, decimals, and negative angles.
There are 1/360 of a turn in 1 degree.
As a decimal, that is 0.002777... turns.
1 turn = 360°.
This is the standard definition of a full rotation.
Compute 90 ÷ 360.
90° = 0.25 turns (one-quarter turn).
Compute 180 ÷ 360.
180° = 0.5 turns (half a turn).
Compute 270 ÷ 360.
270° = 0.75 turns (three-quarters of a turn).
Compute 45 ÷ 360.
45° = 0.125 turns (one-eighth of a turn).
Compute 30 ÷ 360.
30° = 0.083333... turns (one-twelfth of a turn).
Write the degrees over 360, then reduce the fraction.
Example: 120° = 120/360 = 1/3 turn.
Yes. A negative turn means rotation in the opposite direction.
Example: -90° = -0.25 turns.
Yes. More than 1 turn means more than one full rotation.
Example: 540° = 540/360 = 1.5 turns.
Turns can be easier for full-rotation thinking. Many common angles become simple decimals or fractions, like 0.25, 0.5, and 0.75 turns.
Yes. Turns show up in math, physics, and rotation problems. They also help when working with cycles, revolutions, and periodic motion.
They mean the same thing in angle measurement.
1 turn = 1 revolution = 360 degrees.
A turn is the angle for a full circle. A circle is the shape. The full rotation around a point is 1 turn.
Use the same formula: turns = degrees ÷ 360.
Example: 12.5° = 12.5/360 = 0.034722... turns.
Multiply turns by 360.
Formula: degrees = turns × 360
The Calculate Box tool to convert degrees to turns uses the open source script Convert.js to convert units of measurement. To use this tool, simply type a degrees value in the box and have it instantly converted to turns.