Formula and assumptions
Pitch = rise ÷ run × 12; angle = arctan(rise ÷ run); rafter line uses the Pythagorean theorem.
- Rise and run are measured in the same units.
- Rafter output excludes overhang and joinery.
Roof Pitch Calculator estimates pitch ratio, angle, slope, and common rafter line for checking measured roof rise and run. Enter job dimensions in U.S. customary units, adjust supplier assumptions, and get purchase-ready quantities instantly.
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Pitch = rise ÷ run × 12; angle = arctan(rise ÷ run); rafter line uses the Pythagorean theorem.
Measure rise over a known horizontal run with both values in the same units; use the full span only for the geometric rafter estimate.
Example: with rise 6 in, run 12 in, full building span 28 ft, the roof pitch calculator returns 6 /12 for roof pitch. The supporting check is angle: 26.57 °. Replace the prefilled measurements and supplier assumptions with the project values before ordering.
Roof Pitch Calculator estimates pitch ratio, angle, slope, and common rafter line for checking measured roof rise and run. Enter job dimensions in U.S. customary units, adjust supplier assumptions, and get purchase-ready quantities instantly.
Use the result as a planning estimate, then verify field measurements and product-specific data before ordering or building.
The implemented formula, assumptions, and worked example on this page are the calculator-specific reference. BuildYard's broader rules are documented in the Calculation Methodology and Sources & References.
For material density, coverage, yield, dimensions, package quantity, price, and other product-specific values, the current manufacturer or supplier specification should override a planning default.
Last reviewed: September 15, 2026, as part of the site-wide calculator workflow validation pass. See the BuildYard Changelog.
Learn how roof rise, run, pitch multiplier, footprint, overhangs, and separate roof planes affect roof area estimates and roofing material takeoffs.
Read guide →Estimating basicsLearn how to use construction calculators, choose project inputs, verify supplier data, handle waste and rounding, and check estimates before ordering.
Read guide →It converts the measurements for checking measured roof rise and run into the buying units normally used for pitch ratio, angle, slope, and common rafter line, with the relevant waste, package, weight, or cost outputs shown on the result card.
The geometry is calculated from the values you enter. Final ordering accuracy still depends on field measurements, supplier density or coverage, product dimensions, compaction, cuts, and the selected allowance.
Measure rise over a known horizontal run with both values in the same units; use the full span only for the geometric rafter estimate. Confirm the selected product, field conditions, and purchasing increments before placing the order.
Yes for indivisible buying units such as bags, sheets, bundles, pallets, boxes, bars, and truck loads. The calculator rounds those purchase quantities up automatically.
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