Gradient to Degrees Converter
Convert a slope gradient (percent grade) to an angle in degrees.
Grados
5.71 °
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.
- 01Angle = arctan(10/100) = arctan(0.1)
- 02Angle = 5.71°
- 03Rise per foot of run = 0.1 x 12 = 1.2 inches
Preguntas Frecuentes
What does percent grade mean?
Percent grade = (rise / run) x 100. A 10% grade means 10 feet of elevation change for every 100 feet of horizontal distance.
What is a steep road gradient?
Most public roads are designed for grades under 6%. Mountain highways may reach 8-12%. The steepest public roads in the world approach 35% (about 19°).
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