Convert Degrees to Turns

Enter a value in degrees to convert it to turns. The result updates instantly and includes the formula and calculation steps.

Degrees to Turns calculator

to
°
Turns
turn

Degrees to Turns formula

Use this formula to convert degrees to turns:

Turns = Degrees / 360

Calculation

Enter a valid number above to see the formula with your value substituted step by step.

Degrees to Turns Conversion Table

Reference values for converting Degrees to Turns.

Degrees (°)Turns (turn)
0 °0 turn
1 °0.00277777778 turn
10 °0.02777777778 turn
45 °0.125 turn
90 °0.25 turn
180 °0.5 turn
360 °1 turn
1000 °2.7778 turn

Worked example

Convert 45 Degrees to Turns

Turns = 45 / 360 = 0.125 Turns

About these units

Degrees

Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.

Turns

A turn, also known as a revolution or full circle, represents a complete rotation around a central point and is equal to 360 degrees or 2π radians. Turns are used in various disciplines, including engineering, navigation, and geometry, to describe full rotations. The concept of turns is deeply rooted in both mathematical theory and practical applications, such as in the design of gears and wheels.