Gradians to Degrees

Convert gradians (grad) to degrees (°) with formulas, examples, and conversion tables.

grad
°
1 grad = 0.9 °
Full precision:0.9 °
Step-by-Step Solution

To convert 1 gradians to degrees, we divide by 1.1111 because one degree equals exactly 1.1111 gradians.

1 degree = 1.1111 gradians

Since there are 1.1111 gradians in every degree, we divide our value by this factor:

1 ÷ 1.1111 = 0.9 degrees

So 1 gradians = 0.9 degrees.

Quick check: 0.9 × 1.1111 = 1 gradians

How to Convert Gradians to Degrees

To convert gradians to degrees, divide the value by 1.1111.

The Formula

Degrees = Gradians ÷ 1.1111

Key Fact

1 degree = 1.1111 gradians

Tip: To convert degrees back to gradians, multiply by 1.1111.

Example Conversions

Example 1: 1 grad = 0.9 °
1 ÷ 1.1111 = 0.9
Example 2: 5 grad = 4.5 °
5 ÷ 1.1111 = 4.5
Example 3: 10 grad = 9 °
10 ÷ 1.1111 = 9

Gradians to Degrees Table

GradiansDegrees
1 grad0.9 °
2 grad1.8 °
5 grad4.5 °
10 grad9 °
20 grad18 °
25 grad22.5 °
50 grad45 °
100 grad90 °
250 grad225 °
500 grad450 °
1000 grad900 °

1 Gradian in Other Units

Unit1 grad =
Gradians to Degrees0.9 °
Gradians to Radians0.015708 rad
Gradians to Turns0.0025 turn
Gradians to Arc Minutes53.9999
Gradians to Arc Seconds3240
Gradians to Milliradians15.708 mrad
Gradians to Revolutions0.0025 rev
Gradians to Quadrants0.01 quad
Gradians to Sextants0.015 sext

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