Gradian

gon
Compass graded with 400 gon
General information
Unit ofAngle
Symbolgon,,grad
Conversions
1 gon in ...... is equal to ...
   turns   1/400 turn
   radians   π/200 rad
≈ 0.0157... rad
   milliradians   5π mrad
≈ 15.71... mrad
   degrees   0.9°
   minutes of arc   54′

In trigonometry, the gradian  also known as the gon (from Ancient Greek γωνία (gōnía) 'angle'), grad, or grade  is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees. It is equivalent to 1/400 of a turn, 9/10 of a degree, or π/200 of a radian. Measuring angles in gradians (gons) is said to employ the centesimal system of angular measurement, initiated as part of metrication and decimalisation efforts.

In continental Europe, the French word centigrade, also known as centesimal minute of arc, was in use for one hundredth of a grade; similarly, the centesimal second of arc was defined as one hundredth of a centesimal arc-minute, analogous to decimal time and the sexagesimal minutes and seconds of arc. The chance of confusion was one reason for the adoption of the term Celsius to replace centigrade as the name of the temperature scale.

Gradians (gons) are principally used in surveying (especially in Europe), and to a lesser extent in mining and geology.

The gon (gradian) is a legally recognised unit of measurement in the European Union:9 and in Switzerland. However, this unit is not part of the International System of Units (SI).:9–10