Gradient to Degrees Converter — Fórmula

## 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 |

Ejemplo Resuelto

Convert a 10% road grade to degrees.

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