Turn to Gon Converter
Enter the value that you want to convert turn (tur) to gon or gon to turn.
1 turn = 400.0000000 gon
Formula: gon = turn value × 400.0000000
turn to gon
10 turn = 4000.00000 gon
Popular Degree Converters:
Why Convert Turn to Gon?
Understanding the Turn
The turn (also called revolution or full rotation) represents one complete 360° cycle.
Turns are used in engineering to count rotational cycles — RPM (revolutions per minute) is effectively turns per minute. They appear in motor specifications, propeller speeds, centrifuge settings, and vinyl record playback speeds. In mathematics, the τ (tau) constant equals one turn (2π radians).
The Gon: History & Usage
Gon (gon) is a unit of degree measurement. 1 gon is equal to 0.0025000 turn.
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.
turn to gon metric conversion table
| 0.01 tur | = | 4.00000 gon |
| 0.1 tur | = | 40.00000 gon |
| 1 tur | = | 400.00000 gon |
| 2 tur | = | 800.00000 gon |
| 3 tur | = | 1200.00000 gon |
| 4 tur | = | 1600.00000 gon |
| 5 tur | = | 2000.00000 gon |
| 6 tur | = | 2400.00000 gon |
| 7 tur | = | 2800.00000 gon |
| 8 tur | = | 3200.00000 gon |
| 9 tur | = | 3600.00000 gon |
| 10 tur | = | 4000.00000 gon |
| 11 tur | = | 4400.00000 gon |
| 12 tur | = | 4800.00000 gon |
| 13 tur | = | 5200.00000 gon |
| 14 tur | = | 5600.00000 gon |
| 15 tur | = | 6000.00000 gon |
| 16 tur | = | 6400.00000 gon |
| 17 tur | = | 6800.00000 gon |
| 18 tur | = | 7200.00000 gon |
| 19 tur | = | 7600.00000 gon |
| 20 tur | = | 8000.00000 gon |
| 30 tur | = | 12000.00000 gon |
| 40 tur | = | 16000.00000 gon |
| 50 tur | = | 20000.00000 gon |
| 60 tur | = | 24000.00000 gon |
| 70 tur | = | 28000.00000 gon |
| 80 tur | = | 32000.00000 gon |
| 90 tur | = | 36000.00000 gon |
| 100 tur | = | 40000.00000 gon |
| 200 tur | = | 80000.00000 gon |
| 300 tur | = | 120000.00000 gon |
| 400 tur | = | 160000.00000 gon |
| 500 tur | = | 200000.00000 gon |
| 600 tur | = | 240000.00000 gon |
| 700 tur | = | 280000.00000 gon |
| 800 tur | = | 320000.00000 gon |
| 900 tur | = | 360000.00000 gon |
| 1000 tur | = | 400000.00000 gon |
How to Convert Turn to Gon?
We can convert turn to gon by using an example.
Example:
Convert 20 Turn to Gon?
We know 1 Turn = 400.0000000 gon; 1 Gon = 0.0025000 turn.
20 turn = ___gon
20 × 400.0000000 = 8000.00000 gon (we know 1 turn = 400.0000000 gon)
Answer:
20 turn = 8000.00000 gon
Converting Turns to Gradians
One turn equals 400 gradians. This direct relationship makes conversion simple:
- Write down the number of turns.
- Multiply by 400.
- The result is the angle in gradians.
Solved Examples
Question 1: Convert 1.5 turns to gradians.
Solution:
Gradians = Turns × 400
= 1.5 × 400
= 600
Answer: 1.5 turns = 600 gradians
Question 2: A surveying instrument rotates 3/4 turn. Express in gradians.
Solution:
Gradians = (3/4) × 400
= 300
Answer: 3/4 turn = 300 gradians
Question 3: A drill bit makes 0.2 turns. How many gradians?
Solution:
Gradians = 0.2 × 400
= 80
Answer: 0.2 turns = 80 gradians
Practice Questions
Try solving these on your own to test your understanding:
- Convert 2 turns to gradians. (Answer: 800 gon)
- Express 5/8 turn in gradians. (Answer: 250 gon)
- A theodolite sweeps 0.35 turns. Gradians? (Answer: 140 gon)
- Convert 1/10 turn to gradians. (Answer: 40 gon)
The Metric Angle System
The gradian was designed as the "metric degree" — base-10 subdivision of rotation. 1 turn = 400 gon, 1 right angle = 100 gon, and each gon = 100 centigon. This decimal structure parallels how the meter relates to the kilometer. While it never fully replaced degrees in daily life, it achieved dominance in European surveying where decimal calculations reduce errors in fieldwork.
Key Takeaways
- Multiply turns by 400 to get gradians.
- 1/4 turn = 100 gon (right angle).
- Gradians were designed as base-10 "metric angles".
- 1 turn = 360° = 2π rad = 400 gon.
Turn to Gon Conversion Formula
gon = turn × 400.0000000
1 turn = 400.0000000 gon
1 gon = 0.0025000 turn
Reverse: turn = gon × 0.0025000
Frequently Asked Questions
How many gon are in 1 turn?
There are 400.0000000 gon in 1 turn. To convert turn to gon, multiply the value by 400.0000000.
How do I convert turn to gon?
Multiply your turn value by 400.0000000 to get the equivalent in gon. For example, 5 turn = 5 × 400.0000000 = 2000.00000 gon.
How do I convert gon to turn?
Multiply your gon value by 0.0025000 to get the equivalent in turn. Alternatively, divide by 400.0000000.
What is 10 turn in gon?
10 turn is equal to 4000.00000 gon.
What is 100 turn in gon?
100 turn is equal to 40000.00000 gon.