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Convert Gradians to Degrees

Gradians to Degrees conversion table

Gradians (grad)Degrees (°)
1 grad0.9 °
2 grad1.8 °
5 grad4.5 °
10 grad9 °
25 grad22.5 °
50 grad45 °
100 grad90 °
200 grad180 °
500 grad450 °
1000 grad900 °

How to convert gradians to degrees

The grad-to-° conversion appears often when working with angle data across different unit systems. Angle conversions connect degrees (everyday use), radians (mathematics and physics), and gradians (used in some surveying applications).

To convert, multiply the gradians value by 0.9. Written as an equation: ° = grad × 0.9.

One gradians equals approximately 0.9 °. This means you can multiply any grad value by 0.9 to get the equivalent in °.

Worked example: 1 grad = 0.9 °. Enter your own value in the converter above for instant results.

Common mistake: When converting to radians for trigonometry, make sure your calculator is in the correct angle mode (degrees vs. radians).

Bookmark this page for quick grad to ° conversions, or use the swap button to reverse the direction and convert ° back to grad.

Related conversions

Degrees to Gradians

Frequently asked questions

1 grad equals 0.9 °.

Multiply the gradians value by 0.9.

10 grad = 9 °.