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8/12 roof pitch over a 12 ft span

8/12 pitch over a 12 ft span
7.21ft rafter
33.7° · ridge sits 4 ft above the wall plate
33.7°6 ft run4 ft rise7.21 ft rafter8/1266.7% · 33.7°× 1.202footprint → roof areaSingle underlayment
Rafter length6 ft half-span × 1.2027.21ft
With a 12″ overhangwhat you actually cut8.41ft
Ridge height above the wall4ft
Pitch factor√(1 + (8/12)²) — multiply footprint by this for roof area1.202
Angleset the mitre saw to this33.7°
As a percentage8/12 is 66.7%, not 8%66.7%
Roof area per 100 ft² of footprint120ft²
Asphalt shinglesingle layer of underlayment is enoughStandard
Walkableroof jacks or scaffoldingNo
Pitch
8 /12
Span
12 ft

Three ways of saying the same slope

8/12 means 8 inches of rise for every 12 inches of run. As an angle that is 33.7°. As a percentage it is 66.7%.

People quote one and mean another constantly. 8/12 is not 8%, and it is not 8° either.

What you actually cut

The rafter is the hypotenuse, so it is always longer than the half-span. Over a 12 ft span the half-run is 6 ft and the rafter is 7.21 ft — plus the overhang, giving 8.41 ft to cut.

The ridge sits 4 ft above the wall plate.

The number worth keeping

The pitch factor is 1.202. Multiply any footprint by it to get roof area: 100 ft² on the ground is 120 ft² of roof at this pitch.

That single number is the difference between ordering enough shingle and ordering the footprint.

Where the pitch decides the material

Below 2/12, asphalt shingles are not permitted at all — water moves too slowly and wind drives it back under the courses. That roof needs a low-slope membrane.

Between 2/12 and 4/12, shingles are allowed but the IRC requires two layers of underlayment (R905.2.7). It is the most commonly skipped requirement on shallow roofs and the one that surfaces as a leak two winters later.

At 4/12 and above, a single layer is enough.

And where it decides the day rate

Above 8/12 most people cannot stand on a roof. Roof jacks, planks or scaffolding change the cost of the job more than any material choice does.

Notes

  • **Three ways of saying pitch, and they are not the same number.** 8/12 means 8 inches of rise per 12 inches of run. As an angle that is 33.7°. As a percentage it is 66.7%. People routinely quote one and mean another, and on a roof that mistake is expensive.
  • The rafter is the hypotenuse, so it is always longer than the half-span: 6 ft of run becomes 7.21 ft of rafter, plus 1.2 ft for a 12″ overhang. Cut to 8.41 ft and trim on the roof rather than the other way round.
  • At 8/12 a single layer of underlayment satisfies the code, and water sheds fast enough that wind-driven rain is not the concern it is on shallower roofs.
  • The pitch factor 1.202 is the number to keep: multiply any footprint by it to get roof area. A 100 ft² footprint is 120 ft² of roof at this pitch.
  • At 8/12 this is not a walkable roof for most people, and that changes the economics of doing the work yourself more than any material price does.

Nearby sizes

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