In 1 degrees there are 1.111111 gradians. Meanwhile in 1 gradians there are 0.9 degrees. Keep reading to learn more about each unit of measure and how they are calculated. Or just use the Gradians to Degrees calculator above to convert any number.
* Values rounded to 6 decimal places for readability
To convert degrees to gradians (gons), use this base fact: a full circle is 360 degrees and 400 gradians. That means 1 degree = 400/360 gradians, which simplifies to 10/9 gradians (about 1.111... gradians).
Formula (degrees to gradians):
Quick examples:
Tip: For a fast estimate, multiply degrees by 1.11, then adjust if you need more accuracy.
Gradians (also called grads or gon) are a unit for measuring angles. A full circle is 400 gradians. This makes a right angle equal to 100 gradians.
To convert degrees to gradians, multiply the degree value by 10/9.
Formula: gradians = degrees × 10/9
Degrees divide a full circle into 360 parts. Gradians divide a full circle into 400 parts.
So 1 degree equals 400/360 gradians, which simplifies to 10/9.
1° = 1.111111... gradians
(That’s 10/9 gradians.)
A right angle is 90 degrees.
90° = 100 gradians
A straight angle is 180 degrees.
180° = 200 gradians
A full turn is 360 degrees.
360° = 400 gradians
45° = 50 gradians
This is half of a right angle in both systems.
30° = 33.333333... gradians
(Exact value: 100/3 gradians.)
To convert gradians to degrees, multiply the gradian value by 0.9.
Formula: degrees = gradians × 9/10
No. Gradians and radians are different angle units.
Gradians show up in some surveying, mapping, and civil engineering work. They can make right angles and quarter turns easy to read and divide.
Some calculators include a gradian mode labeled GRA, GRAD, or GON. If yours does, check the angle mode before you calculate trig values.
No. The angle stays the same. Only the unit changes, like inches to centimeters.
Rounding depends on your use. For quick checks, 2 to 4 decimal places often works well. For survey or layout work, keep more decimals to match your needed accuracy.
The Calculate Box tool to convert degrees to gradians uses the open source script Convert.js to convert units of measurement. To use this tool, simply type a degrees value in the box and have it instantly converted to gradians.