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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:
- Understand the conversion formula: ° = tr × 360.00000001008
- Substitute the required value. In this case we substitute 4 for tr so the formula becomes: ° = 4 × 360.00000001008
- 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?
What is a Degree?
Turns To Degrees Conversion Table
Below is a lookup table showing common turns to degrees conversion values.
Turn (tr) | Degree (°) |
---|---|
1 tr | 360.00000001008 ° |
2 tr | 720.00000002016 ° |
3 tr | 1080.00000003024 ° |
4 tr | 1440.00000004032 ° |
5 tr | 1800.0000000504 ° |
6 tr | 2160.00000006048 ° |
7 tr | 2520.00000007056 ° |
8 tr | 2880.00000008064 ° |
9 tr | 3240.00000009072 ° |
10 tr | 3600.0000001008 ° |
11 tr | 3960.00000011088 ° |
12 tr | 4320.00000012096 ° |
13 tr | 4680.00000013104 ° |
Other Common Turn Conversions
Below is a table of common conversions from turns to other angle units.
Conversion | Result |
---|---|
1 turn in radians | 6.28318530685963 rad |