Road Gradient Calculator — Formula
## Road Gradient Calculation
Gradient expresses how steep a road is.
### Formulas
**Gradient (%) = (Rise / Run) x 100**
**Slope ratio = 1 in (Run / Rise)** (e.g., 1 in 20)
**Slope distance = sqrt(Rise^2 + Run^2)**
Design guidelines typically limit residential roads to 8-12% and highways to 3-6% depending on terrain and design speed.
Gradient expresses how steep a road is.
### Formulas
**Gradient (%) = (Rise / Run) x 100**
**Slope ratio = 1 in (Run / Rise)** (e.g., 1 in 20)
**Slope distance = sqrt(Rise^2 + Run^2)**
Design guidelines typically limit residential roads to 8-12% and highways to 3-6% depending on terrain and design speed.
Exemplo Resolvido
A road rises 5 m over a horizontal distance of 100 m.
- Gradient = 5/100 x 100 = 5%
- Slope ratio = 1 in 100/5 = 1 in 20
- Slope distance = sqrt(25 + 10000) = sqrt(10025) = 100.12 m