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Roof Pitch Calculator
Enter rise and run in any consistent unit. The calculator returns roof pitch in the U.S. x/12 convention, the angle in degrees, slope percent, and the multiplier for converting plan area to actual roof-surface area.
How much the roof goes up. · e.g. 4
The matching horizontal distance. · e.g. 12
About roof pitch
In the U.S., roof pitch is conventionally written as x/12: x inches of rise per 12 inches of run. A 4/12 pitch means the roof rises 4 inches for every 12 inches of horizontal distance. The calculator also reports the angle in degrees and the slope as a percent.
Educational tool. Practical roof measurement requires safe access; use a long level and tape, or measure from inside against the rafter, rather than climbing onto a steep roof.
Pitch (x / 12)
4 / 12
18.43° · 33.33% slope
Pitch in degrees = atan(rise / run). The roof-surface multiplier = √(1 + slope²) converts a plan-view area to the actual sloped roof area; multiply your footprint by it to estimate shingle or membrane coverage.
Examples
Rise 4 in · run 12 in
4/12 · 18.43° · 33.3% slope
Rise 6 in · run 12 in
6/12 · 26.57° · 50% slope
Rise 12 in · run 12 in
12/12 · 45° · 100% slope
Rise 2 ft · run 8 ft
3/12 · 14.04° · 25% slope
How it works
Roof pitch is a slope expressed three different ways: the U.S. x/12 ratio, the angle in degrees, and the slope as a percent. All three describe the same physical quantity.
Slope · slope = rise / run
x/12 form · pitch_over_12 = slope × 12
Angle · angle = atan(slope)
Roof-surface multiplier · √(1 + slope²)
Related home calculators
- Roofing calculator for material quantity estimates.
- Angle converter for converting between degrees, radians, and other angle units.
- Triangle area calculator for the math behind the rise-run-hypotenuse right triangle.
- Pythagorean theorem calculator for finding the rafter length (hypotenuse) from rise and run.
- All home calculators.
Practical disclaimer. Educational tool. Safe roof measurement uses a long level and tape (from the ground against a fascia board) or measurement from inside the attic against a rafter. Avoid climbing onto a steep roof without proper fall protection.
Frequently asked questions
Roof pitch is the slope of a roof, measured as the vertical rise divided by the horizontal run. In the United States, pitch is conventionally written as x/12: x inches of rise per 12 inches of horizontal run. A 4/12 roof rises 4 inches for every 12 inches horizontal; a 12/12 roof rises 12 inches for every 12 inches, or a 45-degree angle.
Slope = rise ÷ run. Pitch in x/12 form = slope × 12. Angle in degrees = arctan(slope) × (180 / π). Slope percent = slope × 100. Use consistent units for rise and run (inches with inches, or feet with feet).
Walkable pitch tops out around 6/12 (26.6°) for most people. Above 8/12 (33.7°), most roofers use harnesses, roof brackets, or specialized footwear. Above 12/12 (45°), the roof is considered very steep and is typically worked from staging or scaffolding.
Below 2/12 (about 9.5°), a roof is considered low-slope and usually requires a different roofing material (membrane, modified bitumen, or built-up roofing) instead of shingles. Standard asphalt shingles are typically rated down to 2/12 with extra underlayment, and not below.
It converts the plan-view footprint (the area as seen from directly above) to the actual sloped roof area. Multiplier = √(1 + slope²). For a 4/12 pitch, the multiplier is about 1.054, meaning the roof surface is roughly 5.4% larger than the footprint. Use it to estimate shingle or membrane coverage.
Several methods. From inside the attic, hold a level horizontal against the underside of a rafter and measure the rise over a 12-inch run. From outside, use a smartphone level on the roof surface or against a fascia board. On an unsafe steep roof, measure the gable-end triangle (rise and run of the visible roof end).
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