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Convert Degrees to Gradians

1 degree = 1.111111 gradians. Type any value below to convert in either direction — the calculation happens in your browser.

Degrees to Gradians formula

Multiply the number of degrees by 1.111111 to get gradians.

gradians = degrees × 1.111111

To go the other way: divide the number of gradians by 1.111111, or multiply by 0.9.

degrees = gradians ÷ 1.111111

Degrees to Gradians conversion table

DegreesGradians
1 °1.111111 gon
2 °2.222222 gon
3 °3.333333 gon
4 °4.444444 gon
5 °5.555556 gon
6 °6.666667 gon
7 °7.777778 gon
8 °8.888889 gon
9 °10 gon
10 °11.111111 gon
15 °16.666667 gon
20 °22.222222 gon
25 °27.777778 gon
30 °33.333333 gon
40 °44.444444 gon
50 °55.555556 gon
75 °83.333333 gon
100 °111.111111 gon
250 °277.777778 gon
500 °555.555556 gon
1,000 °1,111.111 gon

Gradians to Degrees conversion table

GradiansDegrees
1 gon0.9 °
2 gon1.8 °
3 gon2.7 °
4 gon3.6 °
5 gon4.5 °
6 gon5.4 °
7 gon6.3 °
8 gon7.2 °
9 gon8.1 °
10 gon9 °

About the degree

A degree is one 360th of a full turn, the everyday unit for angles and geographic coordinates.

About the gradian

A gradian divides a right angle into 100 parts and is used in some surveying contexts.

Frequently asked questions

How many gradians are in a degree?

There are 1.111111 gradians in one degree.

How many degrees are in a gradian?

There are 0.9 degrees in one gradian.

Is this conversion exact?

The ratio between the degree and the gradian is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.

What is 10 degrees in gradians?

10 degrees equals 11.111111 gradians.

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