Paritian

Construction & DIY

Slope and Gradient Calculator

Slope as a percentage, an angle, a ratio and the sloping length.

Results

Slope 5.000 %
Angle 2.862 °
Ratio 20.00
Length 3.004 m
The shape, to scale
Slope and Gradient CalculatorSlope and Gradient Calculator: d = 3.00 m, r = 0.15 m, 2.86°, 3.00 md = 3.00 mr = 0.15 m3.00 mStretched to stay visible — not to scale

What this tool does

The same slope gets described four different ways depending on the trade: percent on a road sign, degrees on a drawing, one-in-something for drainage, and the sloping length when you are cutting material. All four are shown at once.

Formula

slope % = drop ÷ distance × 100 ; angle = atan(drop ÷ distance)

Variables

SymbolMeaningUnit
rRise (vertical)m
dRun (horizontal)m
PSlope%
AAngle°
RTRatio—
LELengthm

Worked example

  • Rise (vertical)0.15 m
  • Run (horizontal)3 m
  • Slope5.000 %
  • Angle2.862 °
  • Ratio20.00
  • Length3.004 m

Limitations

  • For work that must comply with a standard or be signed off, check the result against the applicable code and have it reviewed by a qualified engineer.
  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.