Roof Pitch Calculator

Determine your roof pitch from rise and run measurements. Convert between pitch ratios, degrees, and percentage slope for roofing, framing, and building code compliance.

ROOF PITCH
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Angle (Degrees)
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Slope (%)
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Pitch Multiplier
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Rafter Length / ft Run
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What is Roof Pitch?

Roof pitch is the steepness or slope of a roof, expressed as a ratio of the vertical rise to the horizontal run. In North America, pitch is typically stated as "X in 12" or "X/12," meaning the roof rises X inches for every 12 inches of horizontal distance. For example, a 6/12 pitch means the roof rises 6 inches for every 12 inches of run.

Roof pitch is a critical factor in roofing design because it affects water drainage, snow load capacity, material selection, and the overall aesthetic of a building. Building codes often specify minimum pitches for different roofing materials — for example, asphalt shingles generally require at least a 2/12 pitch.

Roof Pitch Formulas

Pitch = Rise / Run (expressed as X/12)
Angle (°) = arctan(Rise / Run) × (180 / π)
Slope (%) = (Rise / Run) × 100
Rafter Length = √(Rise² + Run²)

Common Roof Pitches

PitchDegreesSlope %Common Use
1/124.8°8.3%Near-flat, commercial
2/129.5°16.7%Low slope, minimum for shingles
4/1218.4°33.3%Standard residential
6/1226.6°50.0%Common residential
8/1233.7°66.7%Steep residential
10/1239.8°83.3%Very steep
12/1245.0°100%Maximum standard

How to Measure Roof Pitch

There are several ways to measure roof pitch:

  • From the attic: Hold a level horizontally against a rafter, mark 12 inches along it, then measure vertically from the 12-inch mark to the rafter. That vertical measurement is your rise.
  • From outside: Use a pitch gauge or digital level placed on the roof surface to read the angle directly.
  • From measurements: If you know the total rise of the roof and the total run (half the span), divide rise by run and multiply by 12.

Worked Example

A roof that rises 8 inches for every 12 inches of horizontal run:

Pitch = 8/12
Angle = arctan(8/12) = 33.69°
Slope = (8/12) × 100 = 66.67%
Rafter per foot = √(8² + 12²) = 14.42 in

Frequently Asked Questions

What is the most common roof pitch?

The most common residential roof pitches range from 4/12 to 9/12. A 4/12 pitch is the minimum recommended for standard asphalt shingles without special underlayment, while 6/12 is very popular for its balanced appearance and good water shedding.

What is the minimum pitch for shingles?

The minimum pitch for standard asphalt shingles is 2/12, but pitches below 4/12 typically require additional underlayment. Some manufacturers specify 4/12 as their minimum for warranty coverage.

How do I convert pitch to degrees?

Use the formula: degrees = arctan(rise / run) × 180 / π. For example, a 6/12 pitch equals arctan(6/12) = arctan(0.5) = 26.57 degrees.

What pitch is considered a steep roof?

Roofs with a pitch of 8/12 or greater are generally considered steep. These roofs are more difficult to walk on and may require special safety equipment during installation and maintenance.