Toolman

Convert Radians to Gradians

1 radian = 63.661977 gradians. Type any value below to convert in either direction — the calculation happens in your browser.

Radians to Gradians formula

Multiply the number of radians by 63.661977 to get gradians.

gradians = radians × 63.661977

To go the other way: divide the number of gradians by 63.661977, or multiply by 0.01570796.

radians = gradians ÷ 63.661977

Radians to Gradians conversion table

RadiansGradians
1 rad63.661977 gon
2 rad127.323954 gon
3 rad190.985932 gon
4 rad254.647909 gon
5 rad318.309886 gon
6 rad381.971863 gon
7 rad445.633841 gon
8 rad509.295818 gon
9 rad572.957795 gon
10 rad636.619772 gon
15 rad954.929659 gon
20 rad1,273.24 gon
25 rad1,591.549 gon
30 rad1,909.859 gon
40 rad2,546.479 gon
50 rad3,183.099 gon
75 rad4,774.648 gon
100 rad6,366.198 gon
250 rad15,915.49 gon
500 rad31,830.99 gon
1,000 rad63,661.98 gon

Gradians to Radians conversion table

GradiansRadians
1 gon0.01570796 rad
2 gon0.03141593 rad
3 gon0.04712389 rad
4 gon0.06283185 rad
5 gon0.07853982 rad
6 gon0.09424778 rad
7 gon0.1099557 rad
8 gon0.1256637 rad
9 gon0.1413717 rad
10 gon0.1570796 rad

About the radian

A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.

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 radian?

There are 63.661977 gradians in one radian.

How many radians are in a gradian?

There are 0.01570796 radians in one gradian.

Is this conversion exact?

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

What is 10 radians in gradians?

10 radians equals 636.619772 gradians.

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