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Roof pitch, angle and multiplier.

Pick a pitch and see the angle, the slope and the multiplier that turns a footprint into true roof area.

THE SHORT ANSWER

Roof pitch is the rise in inches for every 12 inches of run, written like 6/12. The pitch multiplier, the square root of 1 plus (rise over 12) squared, turns a flat footprint into true roof area: a 6/12 roof is about 11.8% larger than its footprint.

The full guide, with a worked exampleRead the guide
How it works

What does a roof pitch like 6/12 mean?

Pitch is how many inches the roof rises for every 12 inches it runs. The angle is the arctangent of rise over 12. The pitch multiplier, the square root of 1 plus (rise over 12) squared, turns a flat footprint into true roof area.

  • 4/12 is about 18.4 degrees, multiplier 1.054
  • 6/12 is about 26.6 degrees, multiplier 1.118
  • 12/12 is 45 degrees, multiplier 1.414

Roof pitch calculator

Pitch in, angle and multiplier out.

Roof angle 26.6° Multiplier 1.118 · 50% slope · about 2,236 sq ft of roof

Roof area = footprint × multiplier. Under about 4/12 most shingle makers call it low slope, with extra underlayment rules.

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Questions

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What angle is a 6/12 roof?

About 26.6 degrees. The angle is the arctangent of rise over run, so 6/12 is the arctangent of 0.5.

What is a low-slope roof?

Roofs under about 4/12 are usually treated as low slope, and shingle makers set extra underlayment rules there. Check the manufacturer and your local code.

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