Degrees To Gons Conversion

°

1 ° = 1.11111111111111 gon

Want to convert from gons to degrees instead?

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How to convert degrees to gons (° to gon)

The formula for converting degrees to gons is: gon = ° × 1.11111111111111. To calculate the degree value in gons first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in gons we follow these steps:

gon = ° × 1.11111111111111

gon = 1 × 1.11111111111111

gon = 1.11111111111111

In other words, 1 degree is equal to 1.11111111111111 gons.


Example Conversion

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

  1. Understand the conversion formula: gon = ° × 1.11111111111111
  2. Substitute the required value. In this case we substitute 4 for ° so the formula becomes: gon = 4 × 1.11111111111111
  3. Calculate the result using the provided values. In our example the result is: 4 × 1.11111111111111 = 4.44444444444444 gon

In summary, 4 degrees is equal to 4.44444444444444 gons.


Converting gons to degrees

In order to convert the other way around i.e. gons to degrees, you would use the following formula: ° = gon × 0.9. To convert gons to degrees first substitute the gon value into the above formula, and then execute the calculation. If we wanted to calculate 1 gon in degrees we follow these steps:

° = gon × 0.9

° = 1 × 0.9

° = 0.9

Or in other words, 1 gon is equal to 0.9 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 Gon?

The gon is a unit of measure for angles, which is used to quantify the size of an angle. One gon is defined as 1/400th 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 400 gons. Therefore, an angle that spans one quarter of a circle (i.e., 100 gons) is a right angle, while an angle that spans half a circle (i.e., 200 gons) is a straight angle.
While the gon is not as commonly used as the degree, it is still used in some fields, such as surveying and geodesy, particularly in Europe and Russia. The advantage of using the gon over the degree is that it allows for easier calculation and conversion of angles, particularly when dealing with right angles and other angles that are a multiple of 100 gons.

Degrees To Gons Conversion Table

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

Degree (°)Gon
1 °1.11111111111111 gon
2 °2.22222222222222 gon
3 °3.33333333333333 gon
4 °4.44444444444444 gon
5 °5.55555555555555 gon
6 °6.66666666666666 gon
7 °7.77777777777777 gon
8 °8.88888888888888 gon
9 °9.99999999999999 gon
10 °11.1111111111111 gon
11 °12.22222222222221 gon
12 °13.33333333333332 gon
13 °14.44444444444443 gon

Other Common Degree Conversions

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

ConversionResult
1 degree in circles0.00277777777777778 circle
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
1 degree in turns0.0027777777777 tr