Math
Pythagorean theorem
Find the hypotenuse of a right triangle.
Calculators / Construction / Ramp slope and length
Ramp slope and length calculator
Calculate a ramp’s gradient, angle and sloping length from rise and horizontal run.
On this page
Slope percentage8.33%
Slope angle4.76°
Sloping length7.22m
Calculator controls
How to calculate
Calculate a ramp’s gradient, angle and sloping length from rise and horizontal run.
Slope percentage =
100*rise/run %Slope angle =
atan(rise/run)*180/pi °Sloping length =
sqrt(rise^2+run^2) mWorked example
- Vertical rise (m): 0.6
- Horizontal run (m): 7.2
- Slope percentage: 8.33 %
- Slope angle: 4.76 °
- Sloping length: 7.22 m
Assumptions and limits
This is geometry only. It does not certify accessibility, landings, drainage, handrails, traction or structural compliance.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate a ramp’s gradient, angle and sloping length from rise and horizontal run. Measure horizontal run rather than sloping length. A slope of 1:12 means one unit of rise for twelve units of horizontal run.
When this tool is useful
Measure horizontal run rather than sloping length. A slope of 1:12 means one unit of rise for twelve units of horizontal run.
Understanding your inputs
| Input | Example |
|---|---|
Vertical rise (m) rise | 0.6 |
Horizontal run (m) run | 7.2 |
Frequently asked questions
What does this model leave out?
This is geometry only. It does not certify accessibility, landings, drainage, handrails, traction or structural compliance.
How do I reproduce the example?
Enter the displayed example values in their labelled units. Apply the formula before rounding; change one input at a time to compare scenarios.