Turns To Degrees Conversion


1 tr = 360.00000001008 °

Want to convert from degrees to turns instead?

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How to convert turns to degrees (tr to °)

The formula for converting turns to degrees is: ° = tr × 360.00000001008. To calculate the turn value in degrees first substitute the turn value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 turn in degrees we follow these steps:

° = tr × 360.00000001008

° = 1 × 360.00000001008

° = 360.00000001008

In other words, 1 turn is equal to 360.00000001008 degrees.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 4 turns to degrees is:

  1. Understand the conversion formula: ° = tr × 360.00000001008
  2. Substitute the required value. In this case we substitute 4 for tr so the formula becomes: ° = 4 × 360.00000001008
  3. Calculate the result using the provided values. In our example the result is: 4 × 360.00000001008 = 1440.00000004032 °

In summary, 4 turns is equal to 1440.00000004032 degrees.

Converting degrees to turns

In order to convert the other way around i.e. degrees to turns, you would use the following formula: tr = ° × 0.0027777777777. To convert degrees to turns first substitute the degree value into the above formula, and then execute 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

Or in other words, 1 degree is equal to 0.0027777777777 turns.

Conversion Unit Definitions

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.

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°.

Turns To Degrees Conversion Table

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

Turn (tr)Degree (°)
1 tr360.00000001008 °
2 tr720.00000002016 °
3 tr1080.00000003024 °
4 tr1440.00000004032 °
5 tr1800.0000000504 °
6 tr2160.00000006048 °
7 tr2520.00000007056 °
8 tr2880.00000008064 °
9 tr3240.00000009072 °
10 tr3600.0000001008 °
11 tr3960.00000011088 °
12 tr4320.00000012096 °
13 tr4680.00000013104 °

Other Common Turn Conversions

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

1 turn in radians6.28318530685963 rad