Gon to Degree Converter
Enter the value that you want to convert gon to degree (°) or degree to gon.
1 gon = 0.9000000 degree
Formula: degree = gon value × 0.9000000
gon to degree
10 gon = 9.00000 degree
Popular Degree Converters:
Why Convert Gon to Degree?
The Gon: History & Usage
Gon (gon) is a unit of degree measurement. 1 gon is equal to 0.9000000 degree.
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.
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.
gon to degree metric conversion table
| 0.01 gon | = | 0.00900 ° |
| 0.1 gon | = | 0.09000 ° |
| 1 gon | = | 0.90000 ° |
| 2 gon | = | 1.80000 ° |
| 3 gon | = | 2.70000 ° |
| 4 gon | = | 3.60000 ° |
| 5 gon | = | 4.50000 ° |
| 6 gon | = | 5.40000 ° |
| 7 gon | = | 6.30000 ° |
| 8 gon | = | 7.20000 ° |
| 9 gon | = | 8.10000 ° |
| 10 gon | = | 9.00000 ° |
| 11 gon | = | 9.90000 ° |
| 12 gon | = | 10.80000 ° |
| 13 gon | = | 11.70000 ° |
| 14 gon | = | 12.60000 ° |
| 15 gon | = | 13.50000 ° |
| 16 gon | = | 14.40000 ° |
| 17 gon | = | 15.30000 ° |
| 18 gon | = | 16.20000 ° |
| 19 gon | = | 17.10000 ° |
| 20 gon | = | 18.00000 ° |
| 30 gon | = | 27.00000 ° |
| 40 gon | = | 36.00000 ° |
| 50 gon | = | 45.00000 ° |
| 60 gon | = | 54.00000 ° |
| 70 gon | = | 63.00000 ° |
| 80 gon | = | 72.00000 ° |
| 90 gon | = | 81.00000 ° |
| 100 gon | = | 90.00000 ° |
| 200 gon | = | 180.00000 ° |
| 300 gon | = | 270.00000 ° |
| 400 gon | = | 360.00000 ° |
| 500 gon | = | 450.00000 ° |
| 600 gon | = | 540.00000 ° |
| 700 gon | = | 630.00000 ° |
| 800 gon | = | 720.00000 ° |
| 900 gon | = | 810.00000 ° |
| 1000 gon | = | 900.00000 ° |
How to Convert Gon to Degree?
We can convert gon to degree by using an example.
Example:
Convert 20 Gon to Degree?
We know 1 Gon = 0.9000000 degree; 1 Degree = 1.1111111 gon.
20 gon = ___°
20 × 0.9000000 = 18.00000 ° (we know 1 gon = 0.9000000 degree)
Answer:
20 gon = 18.00000 degree
How to Convert Gradians to Degrees (Step-by-Step)
Converting from gradians (gons) back to degrees uses the inverse factor. Since 400 gradians = 360°, multiply by 9/10:
- Write down the angle in gradians (gon).
- Multiply the gradian value by 9/10 (or 0.9).
- The result is the angle in degrees.
Gradians to Degrees Quick Reference
Standard conversions from gradians to degrees:
| Gon | Degree |
|---|---|
| 50 gon | 45° |
| 100 gon | 90° |
| 150 gon | 135° |
| 200 gon | 180° |
| 300 gon | 270° |
| 400 gon | 360° |
| 1 gon | 0.9° |
| 10 gon | 9° |
Solved Examples
Question 1: A total station reads 250 gradians. What is this in degrees?
Solution:
Degrees = Gradians × (9/10)
= 250 × 0.9
= 225
Answer: 250 gon = 225°
Question 2: Convert 66.667 gradians to degrees.
Solution:
Degrees = 66.667 × (9/10)
= 66.667 × 0.9
= 60.0003 ≈ 60
Answer: 66.667 gon ≈ 60°
Question 3: A slope is measured as 6 gradians. Convert to degrees.
Solution:
Degrees = 6 × (9/10)
= 5.4
Answer: 6 gon = 5.4°
Practice Questions
Try solving these on your own to test your understanding:
- Convert 80 gradians to degrees. (Answer: 72°)
- What is 350 gon in degrees? (Answer: 315°)
- A bearing reads 133.33 gon. Convert to degrees. (Answer: 120°)
- Express 44.44 gon in degrees. (Answer: 40°)
- Convert 375 gon to degrees. (Answer: 337.5°)
Reading Surveying Instruments in Gradians
Total stations and theodolites manufactured in Europe often display readings in gradians by default. When reading "158.2345 gon" on a Leica or Trimble instrument, multiply by 0.9 to get degrees (142.41°). Modern instruments allow switching between degree and gradian mode, but field notes from European surveys will typically record gradians unless explicitly converted.
Gradians in GPS and Mapping Software
Some European mapping software (particularly French and Swiss systems) uses gradians internally. When importing survey data into software that expects degrees (like most GIS systems), batch conversion is needed. The formula is always: degrees = gradians × 0.9. This applies to both horizontal angles (bearings) and vertical angles (inclination/elevation).
Key Takeaways
- Multiply gradians by 9/10 (0.9) to get degrees.
- Quick method: subtract 10% from the gradian value.
- 100 gon = 90° (right angle) is the key reference point.
- European surveying data is often recorded in gradians.
- 400 gon = 360° = full circle.
- Most GIS software expects degrees — always convert gradian survey data before import.
Gon to Degree Conversion Formula
degree = gon × 0.9000000
1 gon = 0.9000000 degree
1 degree = 1.1111111 gon
Reverse: gon = degree × 1.1111111
Frequently Asked Questions
How many degree are in 1 gon?
There are 0.9000000 degree in 1 gon. To convert gon to degree, multiply the value by 0.9000000.
How do I convert gon to degree?
Multiply your gon value by 0.9000000 to get the equivalent in degree. For example, 5 gon = 5 × 0.9000000 = 4.50000 degree.
How do I convert degree to gon?
Multiply your degree value by 1.1111111 to get the equivalent in gon. Alternatively, divide by 0.9000000.
What is 10 gon in degree?
10 gon is equal to 9.00000 degree.
What is 100 gon in degree?
100 gon is equal to 90.00000 degree.