FieldMath
Roofing

Roof Pitch Calculator

Convert roof pitch between ratio (X:12), degrees, and percent slope. Get the pitch multiplier, slope category, and a clear rise-over-run diagram.

Pick how you want to enter the pitch — the other two update automatically.

Vertical rise.

Horizontal run (usually 12).

run 12rise 626.6°

Pitch conversions

Ratio
6:12
Angle
26.6°
Slope
50.0%
Pitch multiplier
1.1180
Category
Standard slope
Asphalt shingles
Suitable

Standard asphalt shingles are rated for this slope. Verify against current local codes.

How this calculator works

Roof pitch describes how steep a roof is, and it shows up in three different forms depending on who is talking: a contractor says “six twelve,” an architect's drawing lists degrees, and a grading or drainage spec uses percent slope. This calculator converts between all three instantly, and reports the two numbers that actually drive material orders: the pitch multiplier and the slope category.

Ratio, degrees, and percent

The ratio form is rise over run, normalized to a 12-inch run — a 6:12 roof climbs 6 inches for every 12 inches across. Degrees is the same slope expressed as the angle from horizontal, found with atan(rise / run). Percent slope is simply rise / run × 100, so a 6:12 roof is a 50% slope. Enter any one of the three and the other two update automatically, because they are all the same geometry described differently.

The pitch multiplier

A sloped roof has more surface than the floor beneath it. The pitch multiplier is the hypotenuse of the rise-over-run triangle, √(1 + (rise / run)²). Multiply a building's footprint by it to get the true roof area. A 6:12 roof has a 1.118 multiplier (about 12% more area than the footprint); a 12:12 roof has a 1.414 multiplier (about 41% more). Every material take-off — shingles, underlayment, ice-and-water shield — scales with this number.

Slope categories and shingle suitability

The calculator also labels the slope: below 2:12 is flat/low slope and requires membrane roofing, 2:12 to 4:12 is low slope (shingles allowed only with double underlayment), 4:12 to 9:12 is standard slope, 9:12 to 21:12 is steep, and anything above is very steep or mansard. These boundaries follow common roofing-trade practice and IRC R905.2.2 for asphalt shingle minimums. Always verify against current local codes before specifying materials.

Frequently asked questions

What does "X:12" roof pitch mean?
Roof pitch is written as rise over run, normalized to a 12-inch run. A "6:12" pitch rises 6 inches vertically for every 12 inches of horizontal distance. The run is almost always held at 12, so only the first number changes between roofs.
What is the minimum roof pitch for asphalt shingles?
Standard asphalt shingles are rated down to 4:12 with a single underlayment. Between 2:12 and 4:12 they are allowed only with a double layer of underlayment (IRC R905.2.2, ASTM D3462). Below 2:12, shingles are not permitted — use membrane roofing such as TPO, EPDM, or modified bitumen. Verify against current local codes.
How do I measure roof pitch from the ground or attic?
The easiest way is on a rafter in the attic: hold a level out horizontally, measure 12 inches along it, then measure straight down from the 12-inch mark to the rafter — that drop is your rise over a 12-inch run. From the ground, a digital level or a phone angle app sighted along the roof line gives a degree reading you can paste into the Degrees mode here.
What is the most common residential roof pitch?
Most homes fall between 4:12 and 9:12, which this calculator labels "Standard slope." It is walkable, sheds water and snow well, and works with virtually every shingle product. Steeper roofs (9:12 and up) are common in colder, higher-snow regions and on architectural styles like Tudor and Victorian.
Why does pitch matter for roofing material costs?
A steeper roof has more surface area than its footprint. The pitch multiplier captures this: a 6:12 roof has about 12% more area than the floor below it, and a 12:12 roof has about 41% more. More area means more shingles, underlayment, and labor — and steep roofs also require extra safety setup, which raises labor rates further.
How does pitch affect snow load and drainage?
Steeper roofs shed water and snow faster, reducing standing water, ice-dam risk, and the sustained snow load the structure carries. Low-slope roofs drain slowly and rely on the membrane and proper underlayment for water resistance, which is why shingles are not rated for them.