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Degrees to Gradians Converter

Convert degrees to gradians and gradians to degrees instantly. Bidirectional angle converter with formula and common values.

°

Gradians

99.9999

grad

90 ° = 99.9999 grad

grad = ° × 1.11111

How to Convert Degrees to Gradians

To convert degrees to gradians, multiply by 10/9, which equals approximately 1.11111. A right angle of 90 degrees equals exactly 100 gradians.

Conversion Formula

  • Degrees to Gradians: grad = ° × 1.11111
  • Gradians to Degrees: ° = grad ÷ 1.11111

Common Conversions

DegreesGradians
1516.6667
3033.3333
4550.0000
90100.0000
135150.0000
180200.0000
270300.0000

Related

FAQ

What is a gradian?

A gradian (also called a gon or grade) divides a right angle into 100 equal parts. A full circle contains 400 gradians, compared to 360 degrees.

How do I convert degrees to gradians?

Multiply the angle in degrees by 1.11111 (or more precisely, 10/9). For example, 45 degrees × 1.11111 = 50 gradians.

Who uses gradians?

Gradians are primarily used in surveying, land measurement, and some European engineering contexts. They make right angles equal to a clean 100 gradians.

How many gradians are in a full circle?

A full circle contains exactly 400 gradians, compared to 360 degrees or 2pi radians.