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Ramp Slope and Length Calculator — result sheet
Calculate ramp slope as a ratio, percentage, and angle from a measured rise and horizontal run, with the sloped length shown separately.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Slope fraction = rise/run; slope percentage = 100×rise/run; ratio form = 1:(run/rise); angle = arctan(rise/run); sloped length = √(rise² + run²).
This page keeps the vertical rise, horizontal run, slope percentage, ratio, angle, and diagonal length distinct. A slope number is a geometric description only; it does not decide whether a ramp complies with a local accessibility, building, vehicle, or workplace rule.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Vertical rise — m; minimum 1.0E-6; maximum 1000000
- Horizontal run — m; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Vertical rise | 0.75 |
| Horizontal run | 9 |
Slope = 8.3333%, ratio = 1:12, angle ≈ 4.7636°, and sloped length ≈ 9.0312 m.
Assumptions and limits
- Rise and run are measured in the same length unit and describe one straight, uniform ramp segment.
- The ratio is reported as one unit of rise for the calculated number of horizontal units; a zero-rise flat surface is outside this ratio form.
- Landings, cross slope, surface, handrails, edge protection, clear width, turning space, local law, and structural capacity are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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