Ramp Calculator

Calculate ramp length, slope, angle, ratio, and ADA guideline status from rise and horizontal run.

Ramp dimensions
Enter rise and run in the same unit. This calculator uses inches so common accessibility dimensions are easy to compare.

About ramp slope and length

A ramp turns a vertical change in elevation into a gradual inclined route. Planning starts with two measurements: vertical rise and horizontal run. Rise is the difference between the lower and upper finished surfaces. Run is the level horizontal distance available for the sloped portion. The calculator treats those measurements as the legs of a right triangle. It finds surface length with the Pythagorean theorem, slope percentage by dividing rise by run, and angle with the inverse tangent of rise divided by run. The ratio expresses how many units of horizontal travel are provided for each unit of rise. Accessibility guidance commonly describes a maximum running slope of 1:12 for a ramp on an accessible route. That means every inch of rise needs at least twelve inches of horizontal run, which is about an 8.33 percent slope. The status shown here compares the entered geometry with that familiar guideline. It is a planning aid rather than a permit decision. Project requirements can also limit the rise of each ramp run and require level landings, handrails, edge protection, clear width, maneuvering space, and suitable cross slope. Local building codes and the applicable accessibility standard should always be checked before construction. Measure between finished surfaces rather than unfinished framing or rough grade. If the approach changes elevation, include that condition in the site layout instead of shortening the measured run. Keep rise and run in the same unit; inches are convenient for small elevation changes, but the underlying ratio is unitless. Surface length is slightly longer than horizontal run because it follows the incline. That distinction matters when estimating decking, concrete forms, anti-slip surfacing, or prefabricated ramp sections. A mathematically acceptable slope does not by itself guarantee a usable ramp. Drainage, weather exposure, door clearances, turning areas, transitions, and user needs affect the final design. A gentler slope can improve comfort and control when space permits. Use the result for preliminary layout, compare alternatives, then have the final arrangement reviewed against current regulations and site conditions by a qualified professional.

Ramp calculation examples

MeasurementsCalculated geometryPlanning note
30 in rise, 360 in run361.25 in length, 8.33 percent, 1:12Matches the common ADA running-slope guideline.
24 in rise, 192 in run193.49 in length, 12.5 percent, 1:8Too steep for the common accessible-route guideline.
18 in rise, 270 in run270.6 in length, 6.67 percent, 1:15A gentler slope with more horizontal space.

How to calculate a ramp

  1. Measure the vertical rise between the lower and upper finished surfaces.
  2. Measure the horizontal run available for the sloped ramp section.
  3. Enter both measurements in inches and select Calculate ramp.
  4. Review length, slope, angle, ratio, and guideline status before developing the detailed layout.

Ramp calculator FAQ

What does a 1:12 ramp slope mean?

A 1:12 slope provides twelve units of horizontal run for every one unit of vertical rise. It is equivalent to about an 8.33 percent slope.

Is every ramp at 1:12 automatically ADA compliant?

No. Running slope is only one accessibility requirement. Width, landings, handrails, edge protection, cross slope, and local rules may also apply.

How is ramp surface length calculated?

Rise and horizontal run form the two legs of a right triangle. Surface length is the hypotenuse, calculated from the square root of rise squared plus run squared.

Can I enter feet instead of inches?

The displayed labels use inches for accessibility planning. The ratio, percentage, and angle remain correct with any consistent unit, but the displayed surface-length unit would need to be interpreted accordingly.

Why might I choose a gentler ramp?

A gentler slope can make travel easier and improve control for many users. It requires more horizontal space, so site constraints and landing arrangements still need consideration.