Degrees To Turns Conversion


1 ° = 0.0027777777777 tr

Want to convert from turns to degrees instead?

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How to convert degrees to turns (° to tr)

The formula for converting degrees to turns is: tr = ° × 0.0027777777777. To calculate the degree value in turns first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in turns we follow these steps:

tr = ° × 0.0027777777777

tr = 1 × 0.0027777777777

tr = 0.0027777777777

In other words, 1 degree is equal to 0.0027777777777 turns.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 6 degrees to turns is:

  1. Understand the conversion formula: tr = ° × 0.0027777777777
  2. Substitute the required value. In this case we substitute 6 for ° so the formula becomes: tr = 6 × 0.0027777777777
  3. Calculate the result using the provided values. In our example the result is: 6 × 0.0027777777777 = 0.0166666666662 tr

In summary, 6 degrees is equal to 0.0166666666662 turns.

Converting turns to degrees

In order to convert the other way around i.e. turns to degrees, you would use the following formula: ° = tr × 360.00000001008. To convert turns to degrees first substitute the turn value into the above formula, and then execute the calculation. If we wanted to calculate 1 turn in degrees we follow these steps:

° = tr × 360.00000001008

° = 1 × 360.00000001008

° = 360.00000001008

Or in other words, 1 turn is equal to 360.00000001008 degrees.

Conversion Unit Definitions

What is a Degree?

A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.
To better understand this definition, it's important to note that a circle has 360 degrees. Therefore, an angle that spans one quarter of a circle (i.e., 90 degrees) is a right angle, while an angle that spans half a circle (i.e., 180 degrees) is a straight angle.
When measuring angles, degrees are usually denoted using the degree symbol (°), which is placed after the numerical value of the angle. For example, an angle of 45 degrees would be written as 45°.

What is a Turn?

A turn is a unit of angular measure that represents a full rotation around a point or axis. It is equivalent to 360 degrees or 2π radians.
In practical terms, a turn is often used in navigation and engineering applications to measure the angle of a rotating object or the direction of travel. For example, a compass needle will complete one turn when it rotates 360 degrees around its axis, while a vehicle traveling in a complete circle will have turned through one complete turn.
The use of turns as a unit of angle measurement is less common than degrees or radians, but it can be useful in certain contexts where a full rotation is the most relevant unit of measurement.

Degrees To Turns Conversion Table

Below is a lookup table showing common degrees to turns conversion values.

Degree (°)Turn (tr)
1 °0.0027777777777 tr
2 °0.0055555555554 tr
3 °0.0083333333331 tr
4 °0.0111111111108 tr
5 °0.0138888888885 tr
6 °0.0166666666662 tr
7 °0.0194444444439 tr
8 °0.0222222222216 tr
9 °0.0249999999993 tr
10 °0.027777777777 tr
11 °0.0305555555547 tr
12 °0.0333333333324 tr
13 °0.0361111111101 tr

Other Common Degree Conversions

Below is a table of common conversions from degrees to other angle units.

1 degree in circles0.00277777777777778 circle
1 degree in gons1.11111111111111 gon
1 degree in gradians1.11111111111111 grad
1 degree in arcminutes60 arcmin
1 degree in radians0.0174532925 rad
1 degree in revolutions0.0027777777777 rev
1 degree in arcseconds3600 arcsec