How This Tool Works
This converter treats grade as a slope percentage, not the angular unit sometimes called a gradian or gon. A slope grade is rise divided by horizontal run, multiplied by 100.
To convert a percent grade to an angle, the calculator first divides the grade by 100, then applies the inverse tangent function.
Formula: angle = arctan(grade / 100). For example, a 6% grade is arctan(0.06), which equals about 3.43°.