Gradient to Degrees Converter

Convert a slope gradient (percent grade) to an angle in degrees.

%

Degrees

5.71 °

Radians0.0997 rad
Rise per Foot of Run1.2 inches
Voir la formule →

Formule

## Gradient (Percent Grade) to Degrees **Angle = arctan(Gradient / 100)** A 100% grade means the rise equals the run (45°). A 10% grade is a relatively steep road. ### Common Grades | Grade | Degrees | Context | |---|---|---| | 1% | 0.57° | Gentle drainage slope | | 5% | 2.86° | Moderate road grade | | 10% | 5.71° | Steep road grade | | 45% | 24.2° | Very steep trail | | 100% | 45° | Rise equals run |

Exemple Résolu

Convert a 10% road grade to degrees.

  1. 01Angle = arctan(10/100) = arctan(0.1)
  2. 02Angle = 5.71°
  3. 03Rise per foot of run = 0.1 x 12 = 1.2 inches