In 1 radians there are 63.661977 gradians. Meanwhile in 1 gradians there are 0.015708 radians. Keep reading to learn more about each unit of measure and how they are calculated. Or just use the Gradians to Radians calculator above to convert any number.
* Values rounded to 6 decimal places for readability
To convert radians to gradians, use the fact that 2π radians = 400 gradians. That gives a direct conversion factor.
Example (4 radians to gradians):
4 × (200 / π) = 800 / π ≈ 254.6479 gradians
Use this radians to gradians formula any time you need a quick, accurate unit conversion.
Radians and gradians are units used to measure angles.
Radians are based on the radius of a circle. Gradians (also called grads or gon) split a right angle into 100 parts.
Use this formula:
This works because π radians = 200 gradians.
The exact factor is:
So 1 radian = 200/π gradians, which is about 63.661977 gradians.
π radians = 200 gradians.
This is one full straight angle (half a turn).
2π radians = 400 gradians.
That equals a full turn around a circle.
1 radian = 200/π gradians ≈ 63.661977 gradians.
For quick work, many people round it to 63.662 grads.
Use this formula:
This is the reverse of radians to gradians.
Both measure angles, but they split a circle in different ways:
Gradians are often used in some surveying and mapping work.
“Grad” is a short form of “gradian.”
“Gon” is another name used in some countries and fields. They all mean the same unit: 1 gradian.
Here are a few common conversions:
These match key angles in circles and triangles.
Yes, many can be exact if you keep π in the result.
For example:
When you use decimals, you get an approximation.
It depends on the job.
These issues come up a lot:
The Calculate Box tool to convert radians to gradians uses the open source script Convert.js to convert units of measurement. To use this tool, simply type a radians value in the box and have it instantly converted to gradians.