Why do surveyors use gradians instead of degrees?

Convenience for base-10 calculations. 100 grad = 90° = quarter circle. Easier in old decimal surveying math.

What's a full circle in gradians?

400 gradians = 360 degrees. Some surveying tools mark 0-400 grad instead of 0-360°.

Your surveying instrument displays angles in gradians (250 grad), but your blueprint is in degrees. What angle does the blueprint show?

250 grad × 0.9 = 225°. Report 225° on your blueprint.

You're reading an older surveying manual that lists angles in 'gon' units, but your modern equipment uses degrees. What's a 150 gon angle in degrees?

150 gon × 0.9 = 135°. 'Gon' (gradian) and 'grad' are the same unit. Many surveying standards have moved to degrees, so this conversion bridges legacy documentation with modern tools.

Gradians to Degrees Converter

Enter a value to instantly convert between angle units.

From

Precision4 dp

1 Gradian = 0.9 Degree

Key Formulas

Degree → Radian

rad = ° × 0.0174533

Radian → Degree

° = rad × 57.2958

Degree → Gradian

grad = ° × 1.11111

Gradian → Degree

° = grad × 0.9

Formula

° = grad × 0.9

Gradians (gon, grad, gradian) divide a full circle into 400 equal parts—used in surveying and military applications. Degrees divide it into 360 parts (traditional). 100 gradians = 90 degrees. Both are non-SI angle units; radians are SI standard.

Source: ISO 80000-3:2019 (Space and time)

Frequently Asked Questions

Real-World Examples

Right angle. 100 grad = 90°. Perpendicular baseline in surveying.

100 grad = 90 °

Straight angle. 200 grad = 180°. Opposite direction or line.

200 grad = 180 °

Diagonal. 50 grad = 45°. Common angle in surveying and navigation.

50 grad = 45 °

Full circle. 400 grad = 360°. Complete rotation.

400 grad = 360 °

degrees to radians radians to degrees degrees to gradians

Gradians to Degrees Converter

Key Formulas

Formula

Frequently Asked Questions

Real-World Examples

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