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Roof Pitch Calculator

Convert roof rise and run among pitch ratio, slope percentage, and angle, from any one of the three measurements.

Published

Pitch ratio

Slope ratio
6:12
Angle
26.57°
Slope
50.0%

Geometry only; material limits, drainage requirements, access, and code compliance are outside this calculation.

Calculation method
Vertical distance the roof rises
in
Horizontal distance the roof spans
in

Results update as you type.

Worked example

calculationType: riseRun · rise: 6 · run: 12 · angle: 26.6 · slope: 50

Result: 6:12

Try it →

Convert measured rise and run among pitch ratio, slope percentage, and angle.

Inputs and method

Enter rise and run, angle, or slope percentage. The calculator converts among rise/run, arctangent angle, and 100 × rise ÷ run while retaining precision until the displayed digits are rounded.

Calculations retain full floating-point precision until the labeled display step. Counts and packages use an explicit upward ceiling only where a whole purchase unit is required.

Interpreting the estimate

Use the result as a planning value and keep input precision consistent with the measurements or source data you have. Small displayed differences can come from final-place rounding; intermediate values are not rounded.

Assumptions and limits

The output is geometry only. It does not determine roof-covering suitability, drainage design, structural capacity, access safety, or code compliance. Pitch is a direct input to a roof material takeoff, so pair it with the roofing calculator; the same rise-and-run geometry applies to the stair calculator; and to measure the roof plane first, use the square footage calculator.

Empty entries, invalid numbers, prohibited negatives, zero denominators, impossible relationships, and unsupported options trigger a validation message instead of a misleading result.

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Frequently asked questions

How does the calculator convert between pitch formats?
From any one of the three measurements it derives the others: the angle is the arctangent of rise over run, and the slope percentage is 100 times rise divided by run. Calculations retain full floating-point precision until the labeled display step.
What can I do with the pitch result?
Use it as a planning value for geometry decisions, such as a direct input to a roof material takeoff alongside the roofing calculator. Keep input precision consistent with the measurements or source data you have.
Does the result determine roofing suitability or safety?
No. The output is geometry only. It does not determine roof-covering suitability, drainage design, structural capacity, access safety, or code compliance.

Sources

  • IRC-2021-CH9

    primary · Aug 12, 2026

    Supports: The 2021 IRC roof-assemblies chapter states roof slope in rise-per-run terms (x:12) and sets slope requirements for roof coverings; the page's angle and percent conversions are standard geometric definitions, and the page makes no code-compliance claim.

    — v2021 International Residential Code, Chapter 9

  • IRC-2021-CH8

    primary · Aug 12, 2026

    Supports: The 2021 IRC roof-ceiling construction chapter provides the residential framing context in which rise/run roof measurements are taken; it does not determine covering suitability or safety.

    — v2021 International Residential Code, Chapter 8

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Roof Pitch Calculator updated at

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