Calcamaze

Ramp Calculator

Find the ramp length, run and angle for a given rise and slope, including ADA wheelchair ramps.

in

Result

Ramp run (horizontal length)
24 ft 0 in
Ramp length (along the slope)
24 ft 1 in
Angle
4.76°
Grade
8.33%

Enter how high the ramp has to climb and choose a slope to see how long it needs to be. For wheelchair ramps in the US, the ADA standard calls for a slope no steeper than 1:12 — one unit of rise for every 12 units of run.

Formula

Run = Rise × Slope ratio · Length = √(Rise² + Run²)

For a 1:12 slope the angle is arctan(1/12) ≈ 4.76°, an 8.33% grade.

Worked example

A 24-inch rise at 1:12 needs a run of 288 in (24 ft). The sloped surface is about 289 in (24 ft 1 in) long, at an angle of 4.76°.

Frequently asked questions

How long does a wheelchair ramp need to be?

At the ADA maximum slope of 1:12, allow 1 foot of ramp for every inch of rise — a 24-inch rise needs 24 feet of run, plus landings.

How often does a ramp need a landing?

Under ADA rules, every 30 inches (76 cm) of rise, and at the top and bottom. Landings must be at least 60 in (1.5 m) long.

Last updated · Calculations checked by automated tests· Editorial policy