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gradians to degrees | Exact Decimal + Formula

1 Gradian = 0.9 Degree

Conversions between Gradian (grad) and Degree (°) are essential in the angle category. This tool provides a quick, free, and accurate way to convert gradians to degrees for academic, professional, or personal calculations. Check the detailed conversion table and formula explanation below for more context.

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Formula

° = grad × 0.9

To convert Gradian to Degree, use the formula displayed above.

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Gradian to Degree: Quick Reference Table

Gradian Degree (Decimal) Fraction
0.001 grad 0.0009 ° -
0.01 grad 0.009 ° -
0.1 grad 0.09 ° -
0.5 grad 0.45 ° -
1 grad 0.9 ° -
2 grad 1.8 ° -
5 grad 4.5 ° -
10 grad 9 ° -
25 grad 22.5 ° -
50 grad 45 ° -
100 grad 90 ° -
250 grad 225 ° -
500 grad 450 ° -
1000 grad 900 ° -

grad to ° Formula and Examples

Direct Formula ° = grad × 0.9
Inverse Formula grad = ° × 1.111111
Mental Math Shortcut

Divide the value by roughly 1.1 to quickly estimate the converted result.

Common Gradian to Degree Calculations

  • 5 grad = 4.5 °
  • 10 grad = 9 °
  • 50 grad = 45 °
  • 100 grad = 90 °
  • 500 grad = 450 °

How to Convert Gradian to Degree

How many degrees are in a gradian?
1 Gradian (grad) is equal to 0.9 Degree (°). To convert gradians to degrees, multiply your value by 0.9.
How do I convert gradian to degree?
To convert Gradian to Degree, use the formula: Degree = Gradian × 0.9. For example, 5 grad = 4.5 °.
What is the formula for grad to °?
The formula is: ° = grad × 0.9. This is based on the exact SI conversion factor. Use our calculator above to convert any value instantly.