Free Road Gradient Calculator

Calculate road gradient (slope) as a percentage and angle from the rise and run distance.

m
m

Gradient

5.00 %

Slope Ratio (1 in N)20.0
Slope Distance100.12 m

Gradient vs Vertical Rise

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.

Example Calculation

A road rises 5 m over a horizontal distance of 100 m.

  1. 01Gradient = 5/100 x 100 = 5%
  2. 02Slope ratio = 1 in 100/5 = 1 in 20
  3. 03Slope distance = sqrt(25 + 10000) = sqrt(10025) = 100.12 m

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