Rise and run as percent grade, degrees, ratio and pitch — or an ADA ramp from the height to climb.
Slope, grade & ramp calculator
8.33%1:12 · 4.76° · 1/12
- Percent grade
- 8.333%
- Ratio
- 1 : 12
- Angle
- 4.764°
- Pitch
- 1/12
These sketches are here to help you order material and price the work quickly. They are not engineered or shop drawings — always build from your approved project drawings.
Show the math▾
- Percent graderise ÷ run × 1001' 0" ÷ 12' 0" × 100 = 8.333%
- Ratio1 : (run ÷ rise)12' 0" ÷ 1' 0" = 12.00
- Angleatan(rise ÷ run)atan(0.08333) = 4.76
- Pitchrise ÷ run × 120.08333 × 12 = 1.000
Where the numbers come from
- Slope conversions: percent = rise ÷ run × 100 · angle = atan(rise ÷ run) · pitch = rise ÷ run × 12 · ratio 1 : (run ÷ rise)All the same slope written four ways. 1:12 = 8.33% = 4.76° = 1/12 pitch; 1:20 = 5%; 1:48 (ADA cross slope) = 2.08%.
- ADA ramps (2010 Standards §405): Slope 1:12 max · rise 30" max per run · landings 60" long min · clear width 36" min · cross slope 1:48 max§405.2 slope, §405.6 rise, §405.7.3 landing length, §405.5 width, §405.3 cross slope. Anything steeper than 1:20 is a ramp (§106.5). Landings are also needed at the top and bottom, and where the ramp turns (60" × 60"). Handrails are required when the rise is over 6" (§405.8). Check your local code.Source
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