Calcamaze

Roof Pitch Calculator

Convert roof rise and run into pitch (x/12), angle in degrees and slope percentage.

Any unit — use the same unit for run.

Result

Roof pitch
6/12
Angle
26.57°
Slope (grade)
50%
Pitch factor
1.118
Multiply a roof’s footprint by this to get its sloped area.

Roof pitch describes how steep a roof is — in the US as inches of rise per 12 inches of run (for example 6/12), and elsewhere usually in degrees. Enter a rise and run, or an angle, to convert between pitch, degrees and slope percentage.

Formula

Pitch = Rise ÷ Run × 12 · Angle = arctan(Rise ÷ Run)

The pitch factor √(1 + (Rise ÷ Run)²) converts a horizontal area or run into the actual sloped length or area.

Worked example

A roof that rises 6 inches for every 12 inches of run has a 6/12 pitch, an angle of 26.57° and a 50% slope. Its pitch factor is 1.118, so a 1,000 ft² footprint has about 1,118 ft² of roof.

Common pitches

Low slope: below 4/12 (18.4°) — needs special roofing. Conventional: 4/12 to 9/12. Steep: above 9/12 (36.9°). Most asphalt shingles need at least 2/12, with extra underlayment below 4/12.

Frequently asked questions

What angle is a 4/12 roof pitch?

About 18.43°. A 6/12 pitch is 26.57°, an 8/12 pitch is 33.69° and a 12/12 pitch is 45°.

How do I measure roof pitch?

Hold a level horizontally against the roof (or rafter), measure 12 inches along it, then measure straight down to the roof surface. That vertical distance is the rise per 12.

Last updated · Calculations checked by automated tests· Editorial policy