8/12 Roof Pitch Calculator: Angle, Rafter, Ridge, Area

8/12 Roof Pitch Calculator

The 8/12 pitch rises 8 inches for every 12 inches of run, giving a 33.69° angle and a 1.2019 rafter multiplier. Enter your span, wall height, and overhang to size rafters, ridge height, and roof area.

🎯8/12 Pitch Presets

📝Roof Inputs

Default 8 gives the popular 8/12 pitch. The run stays fixed at 12.

Full width wall to wall. Run is half the span.

Used for gable roof area (footprint × multiplier).

Pitch angle atan(rise / 12)
Rafter length 0 run × multiplier + overhang
Ridge height 0 rise + wall height
Roof area 0 gable, footprint × multiplier

🔢8/12 Snapshot

8 / 12Rise over run
33.69°Slope angle
1.2019Rafter multiplier
66.67%Percent grade

📐Common Pitches: Angle, Multiplier, Grade

PitchAngleMultiplierGradeCategory
2/129.46°1.013816.67%Low slope
4/1218.43°1.054133.33%Conventional
6/1226.57°1.118050.00%Conventional
7/1230.26°1.157758.33%Moderate
8/1233.69°1.201966.67%Steep, walkable
9/1236.87°1.250075.00%Steep
10/1239.81°1.301783.33%Steep
12/1245.00°1.4142100.00%Very steep

📏8/12 Rafter Length by Span

Span (ft)Run (ft)Rise (ft)Rafter (ft)Rafter (in)
168.05.339.61115.4
2010.06.6712.02144.2
2412.08.0014.42173.1
3015.010.0018.03216.3
3618.012.0021.63259.6
4020.013.3324.04288.5

Rafter length excludes overhang. Add your eave overhang length along the slope to each figure.

👢Walkability and Snow by Pitch

PitchAngleWalkableSnow ShedNotes
2/129.46°EasyPoorNeeds sealed membrane
4/1218.43°EasyFairStandard shingle range
6/1226.57°CarefulGoodCommon residential
8/1233.69°With careVery goodSteep but still walkable
10/1239.81°Roped onlyExcellentRoof jacks advised
12/1245.00°NoExcellentFall protection required

🗂Pitch Comparison Grid (30 ft Span)

PitchAngleMultiplierGradeRise (ft)Rafter 30ft
3/1214.04°1.030825.00%3.7515.46
4/1218.43°1.054133.33%5.0015.81
5/1222.62°1.083341.67%6.2516.25
6/1226.57°1.118050.00%7.5016.77
7/1230.26°1.157758.33%8.7517.37
8/1233.69°1.201966.67%10.0018.03
9/1236.87°1.250075.00%11.2518.75
10/1239.81°1.301783.33%12.5019.53
12/1245.00°1.4142100.00%15.0021.21

Full Formula Breakdown

Runrun = span / 2. For a 30 ft span the run is 15 ft, measured from wall to ridge center.
Riserise = run × (rise per 12 / 12). At 8/12 the factor is 8 / 12 = 0.6667, so a 15 ft run rises 10 ft.
Angleangle = atan(rise per 12 / 12) in degrees. atan(8 / 12) = 33.69° for the 8/12 pitch.
Multipliermultiplier = sqrt(rise² + run²) / run = sqrt(8² + 12²) / 12 = sqrt(208) / 12 = 1.2019.
Rafterrafter = run × multiplier, then add the overhang measured along the slope. 15 × 1.2019 = 18.03 ft.
Ridge heightridge height = rise + wall height to top plate, ignoring ridge board thickness.
Gradepercent grade = rise per 12 / 12 × 100. The 8/12 pitch is a 66.67% grade.
Roof areagable area = footprint (span × length) × multiplier. Overhang adds to the covered footprint.

📋Pitch to Degrees Quick Table

PitchDegreesPitchDegrees
1/124.76°8/1233.69°
2/129.46°9/1236.87°
3/1214.04°10/1239.81°
4/1218.43°12/1245.00°
5/1222.62°14/1249.40°
6/1226.57°16/1253.13°
7/1230.26°18/1256.31°

💡8/12 Roof Pitch Tips

Walkable steep tip: The 8/12 pitch at 33.69° is a common steep-but-walkable roof. It sheds snow well and stays climbable with roof jacks or a harness, unlike a 10/12 or steeper slope.
Area shortcut: For an 8/12 gable, multiply the flat footprint by 1.20 to get the sloped roof area. A 1,200 sq ft footprint becomes about 1,442 sq ft of actual roof surface.

Roof Pitch: Most homeowners think they know what an eight-in-twelve pitch means until they actualy stand on a ladder with a measuring tape to measure it. It has a steep rise to shed snow load but it is not so steep that you need industrial safety harnesses to walk across it. In snowy winters, builders love this kind of pitch; It’s both structurally efficient and accessible.

Enter your roof size into the calculator up top and it do the math for you. No more fumbling with coefficients and conversions, which lead to framing mistakes more often then you think. A pitch is not simply an angle. It’s also a ratio. For instance, an eight in twelve pitch indicates that for each twelve inches outward along the roof from the wall, the roof rise eight inches high. That is an approximate thirty-three point seven degree pitch. On roof jacks, it is not bad to walk on, though from ground it seems very steep.

How to Measure and Plan Your Roof

This pitch multiplier are about one point two zero two. You want that number, not so much the angle itself since that is the amount by which to multiply length of your rafter above the horizontal run. Cutting to span only won’t work. The roof won’t meet up with the walls, leaving exposed area at the eaves. These gaps look bad when installing siding and also ruin weatherproofing efforts.

There’s another measurement: span versus run. Span refers to the full width of building, from outside wall to outside wall. Halfway across, where the rafters intersect in the center, it’s called run. In the case of a thirty-foot wide house, the run are only fifteen feet. Multiply that fifteen-foot run by the one point two zero two factor to get the rafter length you’ll need. (The calculator does this for you automatically, but understanding the math will save you from making an expensive mistake on the job.)

Also remember to allow for any overhang extending past the wall line. Overhang keeps rain runoff off your siding. Increasing your overhang even a foot or two make a big difference in the length of your rafters. All that additional horizontal space still needs to be covered with sloping lumber. Homeowners frequently ask about visualizing the finished product, but they’re usually surprised by how tall the ridge is. For example, with a typical thirty-foot span and an eight-in-twelve pitch, that’s going to add ten feet of vertical height over the wall plate. That means if your house has nine-foot walls, the top of the roof will be nineteen feet from the ground.

The bonus: you’ll have a little more room in the attic, which helps it ventilate better and allows for more insulation. But you’ll also need bigger lifts or scaffolding later when maintaining higher part of your house. Budget talks revolve directly around surface area calculations. Because roofs slope, their actual shingled area is more than that of the underlying building’s footprint. Multiply to get an idea of the true size; a footprint of twelve hundred square feet turns into about fourteen hundred forty square feet of roofing material.

Roofing material, including shingles, underlayment, and flashing, comes in squares: One square is equal to one hundred square feet. You’ll buy short on materials, if your estimate of surface area is less than it realy is. You’ll delay as you wait for supplies. Aggressively over-estimating will waste money, but stopping part-way on a rainy afternoon are worse than being off by a little.

The last practical point: it’s slippery! If you’ve got some boots on at a thirty-three degree angle, take care, because this is the point where gravity will of be an issue. A forty-five degree slope is far too steep for walking around; safety involves a rope. But still, don’t walk casually on the roof. The roof should probably only be reached via harness and rubber-soled shoes if it’s going to be more than a few minutes worth of time.

Snow comes off really well so that helps with the loading in blizzards. But it also builds up ice dangerously at the eaves unless you insulate properly and/or has proper heating cables installed. The eight-in-twelve pitch is a compromise between building complexity and weather toughness, good for attic space and drainage without getting out of normal stick framing bounds.

Thanks to moddern calculators, the first set of numbers is trivial; the hard part is transferring them to your own site conditions. Measure twice, cut once. Always honor the slope. From the driveway it may seem like a gentle 33 degrees. Until you’re up on that ridge, when it requires respect.

8/12 Roof Pitch Calculator: Angle, Rafter, Ridge, Area