A roof engineering monograph

Roof Pitch Calculator

Roof pitch is usually given as rise-per-12: a 6:12 roof rises 6 inches for every 12 inches of horizontal run. Enter the rise to get the angle, slope percentage and the roof factor that multiplies a horizontal run into an actual sloped length.

What this gives youConverts rise-per-12 to angle, slope % and the rafter-length (roof) factor.
Angle from horizontal26.6 °

The worksheet

roof pitch calculator
Angle from horizontal
26.6°

A 6:12 pitch is 26.6° from horizontal (50% slope), a conventional roof.

Slope
50%
Roof factor
1.12×
How this was calculated
Pitch ratio6:12rise : run
tan(θ) = rise / run0.5000
Angle, θ = atan(rise/12)26.6°
Slope percentage50%rise/run × 100
Roof factor1.12×√(1 + (rise/12)²); multiplies a flat run into the sloped length
Next stepSuppliers

Framing hardware for rafters, trusses & joists

A 6:12 pitch is 26.6° from horizontal (50% slope), a conventional roof. Connectors, hangers and fasteners sized to the framing you just calculated. A lumber yard or supplier can also cut and engineer trusses to spec.

Some links are affiliate links: if you buy through them we may earn a commission at no extra cost to you. These are starting points, not engineering endorsements. Always confirm a product's rated snow load meets the design load above.

Fig. A · Converts rise-per-12 to angle, slope % and the rafter-length (roof) factor.

Notes

  • A 4:12 pitch (≈18.4°) is the common low end for standard asphalt shingle warranties; below that, manufacturers usually require low-slope methods and extra ice-and-water underlayment.
  • The roof factor multiplies a horizontal (run) measurement into the actual sloped roof-surface length; use it to convert a building footprint into the roofing area you need to order.
  • Steeper pitches shed snow and water faster but cost more in materials and labor; the ASCE 7 slope factor Cs for snow load also changes with pitch; pair this with the snow load calculators for a full picture.

Notes & questions

01What does a 4:12 roof pitch mean?+

It means the roof rises 4 inches vertically for every 12 inches (1 foot) of horizontal run. Enter 4 above to see the exact angle (≈18.4°) and slope percentage.

02How do I measure my roof pitch?+

Hold a level horizontally against the roof surface (or in the attic against a rafter), measure 12 inches out from the high end, and measure the vertical distance down to the roof surface at that point. That vertical measurement in inches is your rise; enter it above.

03What roof pitch is too steep to walk on safely?+

Many roofers consider pitches above 6:12 to 8:12 (about 27° to 34°) to need fall protection and specialized footing; above roughly 9:12–12:12 most homeowners should not be on the roof at all.

Other calculators