In 1 gradians there are 0.0025 turns. Meanwhile in 1 turns there are 400 gradians. Keep reading to learn more about each unit of measure and how they are calculated. Or just use the Turns to Gradians calculator above to convert any number.
* Values rounded to 6 decimal places for readability
To convert gradians to turns, use the fact that a full turn (one full rotation) equals 400 gradians.
Example:
A gradian, also called a grad, is a unit for measuring angles. It splits a full circle into 400 grads. This system is common in some surveying and engineering work.
A turn is a full rotation around a point. One turn equals one complete circle. It’s a simple way to express angles as a fraction of a full rotation.
There are 400 gradians in 1 turn. That’s because a full circle is defined as 400 grads in the gradian system.
To convert gradians to turns, divide the number of gradians by 400.
Formula:
turns = gradians ÷ 400
To convert turns to gradians, multiply the number of turns by 400.
Formula:
gradians = turns × 400
100 gradians = 0.25 turns.
Since 400 gradians make 1 turn, 100 is one-fourth of a full turn.
200 gradians = 0.5 turns.
That equals half of a full rotation.
300 gradians = 0.75 turns.
That equals three-fourths of a full turn.
400 gradians = 1 turn.
This is one full rotation.
No. They measure angles in different scales. A full circle is 400 gradians but 360 degrees. They line up at key points, but the numbers don’t match.
These are the standard full-circle values:
Gradians make some base-10 angle work easier. Right angles are 100 grads, and a straight angle is 200 grads. Turns are often used when you want a clean fraction of a full rotation.
Yes. A value above 1 means more than one full rotation. A negative value means rotation in the opposite direction. The same idea works with gradians.
Use the 400 rule. For a quick estimate, treat it like a fraction of 400.
Examples: 40 grads is about 0.10 turns, 80 grads is about 0.20 turns.
Common errors include:
1 gradian = 0.0025 turns.
That’s because 1 ÷ 400 = 0.0025.
Sometimes. Many results end in decimals. Round based on your need. Surveying and engineering often need more decimal places, while basic rotation work may not.
The Calculate Box tool to convert gradians to turns uses the open source script Convert.js to convert units of measurement. To use this tool, simply type a gradians value in the box and have it instantly converted to turns.