Construction Planning guide

Slope Calculator Guide: Rise, Run, Grade and Angle

Convert rise and run into slope percentage, ratio and angle for ramps, drainage and terrain planning.

Quick answer

Slope percentage equals rise divided by horizontal run multiplied by 100. The angle is the arctangent of rise divided by run. Use horizontal run, not the sloped surface length.

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Step by step

  1. Measure rise Use vertical change in inches, feet or millimeters.
  2. Measure horizontal run Keep it separate from the diagonal length.
  3. Calculate grade Divide rise by run and multiply by 100.
  4. Convert angle Use arctan(rise ÷ run) when an angle is needed.

Formula or rule of thumb

grade(%) = rise ÷ run × 100; angle = arctan(rise ÷ run)

Example

A 6 in rise over 10 ft horizontal run is 0.5 ÷ 10 × 100 = 5% grade.

Common mistakes

Using diagonal length as run, confusing a 5% grade with a 5-degree angle, and applying a generic accessibility rule without checking local requirements.

Planning note: product yields, installation methods, site conditions and local requirements can change the final quantity. Use the exact manufacturer or supplier information before purchasing.

FAQ

Is percent grade the same as degrees?

No. They describe the same slope in different ways.

Can this size a ramp?

It can convert dimensions, but ramp design must follow applicable accessibility and safety requirements.

What about drainage?

Drainage slope depends on surface, flow, soil and local design practice.

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