What are turns and gradians?
A turn is a full rotation around a circle. One turn equals 360 degrees.
A gradian (also called gon) splits a full turn into 400 equal parts. So, one full turn equals 400 gradians.
What is the formula to convert turns to gradians?
Use this direct formula:
gradians = turns × 400
It works for whole turns, fractions, and decimals.
How many gradians are in 1 turn?
1 turn = 400 gradians
This is the base value for all turns-to-gradians conversions.
How do you convert a fraction of a turn to gradians?
Multiply the fraction by 400.
- 1/2 turn = 0.5 × 400 = 200 gradians
- 1/4 turn = 0.25 × 400 = 100 gradians
- 3/4 turn = 0.75 × 400 = 300 gradians
How do you convert decimal turns to gradians?
Multiply the decimal by 400.
- 0.1 turn = 0.1 × 400 = 40 gradians
- 0.25 turn = 0.25 × 400 = 100 gradians
- 1.5 turns = 1.5 × 400 = 600 gradians
What is 0.01 turn in gradians?
0.01 turn = 0.01 × 400 = 4 gradians
This is useful for fine rotation steps and small angle work.
Are gradians the same as degrees?
No. They measure angles in different units.
- 1 turn = 360 degrees = 400 gradians
- 1 degree = 10/9 gradians (about 1.111...)
- 1 gradian = 0.9 degrees
How do turns to gradians conversions work for negative turns?
Negative turns convert the same way. The sign stays the same.
gradians = turns × 400
Example:
-0.5 turn = -0.5 × 400 = -200 gradians
Can gradians be used for bearings and direction?
Yes. Gradians are common in some surveying and mapping systems.
A full circle is 400 gradians, and right angles are easy to read:
90 degrees = 100 gradians
That makes quarter-turn directions simple to express.
Why does 1 turn equal 400 gradians?
Gradians were designed to make right angles and decimal splits easier.
- Full turn: 400 gradians
- Right angle (quarter turn): 100 gradians
- Straight angle (half turn): 200 gradians
These values stay clean and easy to work with.
What are common turn to gradian conversions?
Here are quick reference values:
- 0.25 turn = 100 gradians
- 0.5 turn = 200 gradians
- 0.75 turn = 300 gradians
- 1 turn = 400 gradians
- 2 turns = 800 gradians
What is the reverse conversion from gradians to turns?
To convert back, divide by 400:
turns = gradians ÷ 400
Example:
50 gradians = 50 ÷ 400 = 0.125 turn