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Convert Gradians to Degrees

1 gradian = 0.9 degrees. Multiply the number of gradians by 0.9.

Result
0.9

1 grad = 0.9 °

Multiply the number of gradians by 0.9.

Results are rounded for display. Double-check values for critical work.

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Gradians to Degrees table

GradiansDegrees
1 grad0.9 °
2 grad1.8 °
3 grad2.7 °
4 grad3.6 °
5 grad4.5 °
10 grad9 °
20 grad18 °
25 grad22.5 °
50 grad45 °
100 grad90 °
500 grad450 °
1000 grad900 °

Gradians to Degrees in your head

Multiply by 8, then divide by 9.

That lands within 1% of the exact value.

10 grad → 8.88889 ° in your head, 9 ° exactly.

About these units

The gradian (grad) is a metric unit of angle, equal to 0.015707963 radians.

The degree (°) is a specialist or regional unit of angle, equal to 0.017453293 radians.

Going the other way, 1 degree = 1.1111111 gradians. Trigonometry and CAD want radians, surveyors want gradians, navigation wants degrees and minutes. Convert plane angles between every common representation.

Frequently asked

How many degrees are in a gradian?
1 gradian = 0.9 degrees.
How do you convert gradians to degrees?
Multiply the number of gradians by 0.9.
What is 10 grad in °?
10 grad = 9 °.

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