Work out degrees to gradians instantly with clear inputs, formula shown and shareable results.
The gradian divides a right angle into 100 parts, so a full circle is 400 gradians against 360 degrees. The conversion is therefore a multiplication by 400/360 = 10/9.
Degrees to gradians
gradians = degrees × 10 / 9
45 × 10/9 = 50 gon, exactly half a right angle.
Mainly surveyors and some European civil engineering practice, because a right angle being 100 gon simplifies slope arithmetic.