EasyUnitConverter.com

Degree to Gon Converter

Enter the value that you want to convert degree (°) to gon or gon to degree.

1 degree = 1.1111111 gon

Formula: gon = degree value × 1.1111111

degree to gon

°
11.11111gon

10 degree = 11.11111 gon

Popular Degree Converters:

radians to degreesdegrees to radians

How Degree Relates to Gon

What is Degree?

Dating back to ancient Babylonian astronomy, the degree divides a full rotation into 360 equal parts.

The Babylonians used a base-60 number system and observed that the sun moved approximately one degree per day across the sky over a year. The 360° circle became universal in navigation, surveying, architecture, and education. Degrees remain the standard angle unit in everyday life — from compass bearings and map coordinates to smartphone screen rotation and camera field-of-view specifications.

The Gon: History & Usage

Gon (gon) is a unit of degree measurement. 1 gon is equal to 0.9000000 degree.

Why Angle Conversions Matter

Angle conversions bridge the gap between everyday measurement (degrees) and mathematical computation (radians). A mechanical engineer designing a robotic arm needs radians for inverse kinematics. A pilot reads compass headings in degrees. A surveyor might work in gradians. Game developers convert between degrees (artist-friendly) and radians (GPU shaders) hundreds of times per frame. Understanding these conversions is essential across STEM fields, navigation, and digital media production.

degree to gon metric conversion table

0.01 °=0.01111 gon
0.1 °=0.11111 gon
1 °=1.11111 gon
2 °=2.22222 gon
3 °=3.33333 gon
4 °=4.44444 gon
5 °=5.55556 gon
6 °=6.66667 gon
7 °=7.77778 gon
8 °=8.88889 gon
9 °=10.00000 gon
10 °=11.11111 gon
11 °=12.22222 gon
12 °=13.33333 gon
13 °=14.44444 gon
14 °=15.55556 gon
15 °=16.66667 gon
16 °=17.77778 gon
17 °=18.88889 gon
18 °=20.00000 gon
19 °=21.11111 gon
20 °=22.22222 gon
30 °=33.33333 gon
40 °=44.44444 gon
50 °=55.55556 gon
60 °=66.66667 gon
70 °=77.77778 gon
80 °=88.88889 gon
90 °=100.00000 gon
100 °=111.11111 gon
200 °=222.22222 gon
300 °=333.33333 gon
400 °=444.44444 gon
500 °=555.55556 gon
600 °=666.66667 gon
700 °=777.77778 gon
800 °=888.88889 gon
900 °=1000.00000 gon
1000 °=1111.11111 gon

How to Convert Degree to Gon?

We can convert degree to gon by using an example.

Example:

Convert 20 Degree to Gon?

We know 1 Degree = 1.1111111 gon; 1 Gon = 0.9000000 degree.

20 degree = ___gon

20 × 1.1111111 = 22.22222 gon (we know 1 degree = 1.1111111 gon)

Answer:

20 degree = 22.22222 gon

How to Convert Degrees to Gradians (Step-by-Step)

Gradians (also called gons or grads) divide a right angle into 100 parts instead of 90. A full circle is 400 gradians. To convert degrees to gradians:

  1. Write down the angle in degrees.
  2. Multiply the degree value by 10/9 (or equivalently, multiply by 400/360).
  3. The result is the angle in gradians.
💡 Tip: The conversion factor 10/9 ≈ 1.1111 means gradians are always slightly larger numbers than degrees. A right angle is 90° = 100 gon — that's the design intent of the gradian system.

Degrees to Gradians Reference Table

Common angle conversions between degrees and gradians used in surveying and civil engineering:

DegreeGon
0°0 gon
45°50 gon
90°100 gon
180°200 gon
270°300 gon
360°400 gon
1°1.1111 gon
30°33.333 gon
60°66.667 gon

Solved Examples

Question 1: Convert 45 degrees to gradians.

Solution:

Gradians = Degrees × (10/9)

= 45 × (10/9)

= 450/9

Answer: 45° = 50 gradians

Question 2: Convert 135 degrees to gradians.

Solution:

Gradians = 135 × (10/9)

= 1350/9

= 150

Answer: 135° = 150 gradians

Question 3: A surveyor measures a bearing of 72°. Express in gradians.

Solution:

Gradians = 72 × (10/9)

= 720/9

= 80

Answer: 72° = 80 gradians

Question 4: Convert 225 degrees to gradians.

Solution:

Gradians = 225 × (10/9)

= 2250/9

= 250

Answer: 225° = 250 gradians

Practice Questions

Try solving these on your own to test your understanding:

  1. Convert 54° to gradians. (Answer: 60 gon)
  2. What is 162° in gradians? (Answer: 180 gon)
  3. Express 315° in gradians. (Answer: 350 gon)
  4. Convert 27° to gradians. (Answer: 30 gon)
  5. A road slope is 5.4°. What is it in gradians? (Answer: 6 gon)

Why Surveyors Use Gradians

The gradian system was created during the French Revolution to decimilize angle measurement. A right angle being exactly 100 gradians makes percentage slope calculations trivial — a 1% grade equals exactly 1 gradian. This is why European surveying equipment, total stations, and civil engineering software often default to gradians. French, German, and Swiss topographic maps traditionally use the gradian system.

Degrees vs Gradians: When to Use Each

Degrees are universal in navigation, astronomy, education, and most everyday applications. Gradians excel in land surveying (slope = tan of angle in gradians ÷ 100), road engineering (grade percentages), and mining (tunnel inclinations). If you see an instrument with "gon" or "grad" on its display, it's measuring in gradians. Most scientific calculators have a DEG/RAD/GRAD mode selector.

Key Takeaways

  • Multiply degrees by 10/9 (≈ 1.1111) to get gradians.
  • A right angle = 90° = 100 gradians = π/2 radians.
  • Gradians are used primarily in European surveying and civil engineering.
  • 1 gradian = 0.9° — gradians are slightly smaller than degrees.
  • A full circle = 360° = 400 gradians.
  • The gradian system makes slope percentage calculations simpler.

Degree to Gon Conversion Formula

gon = degree × 1.1111111

1 degree = 1.1111111 gon

1 gon = 0.9000000 degree

Reverse: degree = gon × 0.9000000

Frequently Asked Questions

How many gon are in 1 degree?

There are 1.1111111 gon in 1 degree. To convert degree to gon, multiply the value by 1.1111111.

How do I convert degree to gon?

Multiply your degree value by 1.1111111 to get the equivalent in gon. For example, 5 degree = 5 × 1.1111111 = 5.55556 gon.

How do I convert gon to degree?

Multiply your gon value by 0.9000000 to get the equivalent in degree. Alternatively, divide by 1.1111111.

What is 10 degree in gon?

10 degree is equal to 11.11111 gon.

What is 100 degree in gon?

100 degree is equal to 111.11111 gon.