Roof Pitch Calculator
Calculate roof pitch from rise and run measurements. Convert between pitch ratio, degrees, and percentage. Determine rafter length and roof area multiplier.
Understanding Roof Pitch
Roof pitch determines everything from material choices to drainage performance to the overall look of your home. It's expressed as a ratio of vertical rise to horizontal run — a 6/12 pitch rises 6 inches for every 12 inches of horizontal distance.
Roof Pitch Formulas
Pitch = Rise ÷ Run (expressed as X/12)
Angle (degrees) = arctan(Rise ÷ Run)
Rafter Length = √(Rise² + Run²)
Roof Area Multiplier = Rafter Length ÷ Run
Roof Pitch Categories
- Flat/Low-slope (0–2/12): Requires membrane roofing (EPDM, TPO, PVC). Common on commercial buildings and modern residential design.
- Low pitch (3/12–4/12): Minimum for most shingles. Common on ranch homes and additions. Good for solar panels.
- Standard pitch (5/12–9/12): Most common residential range. Good drainage, usable attic space, wide material options.
- Steep pitch (10/12–12/12): Dramatic appearance, excellent snow shedding. More expensive to build and roof.
- Very steep (over 12/12): Decorative — turrets, steeples, A-frame cabins. Requires special installation techniques.
How Pitch Affects Material Selection
- Asphalt shingles: Minimum 2/12 (4/12 standard). The most common residential roofing material.
- Metal roofing: Minimum 3/12 for most panels, some rated to 1/2:12 with standing seam.
- Clay/concrete tile: Minimum 4/12, preferred 4/12 or steeper per IRC R905.3.
- Slate: Minimum 4/12. Heavy — requires engineered structural support.
- Membrane (EPDM/TPO): Designed for 0–2/12. The go-to for flat and low-slope roofs.
Measuring Roof Pitch
There are several ways to measure roof pitch:
- From the attic: Hold a level against a rafter, measure 12" along the level, then measure the vertical distance from that point to the rafter underside. That's your rise per 12" of run.
- From outside: Use a pitch gauge (available at hardware stores) pressed against the rake edge or a rafter tail.
- Smartphone app: Inclinometer apps can measure the angle when placed against the roof surface or a rafter.
- From measurements: If you know the total rise (ridge to wall plate) and total run (half the span), divide rise by run and multiply by 12.
Frequently Asked Questions
What is roof pitch?
Roof pitch is the slope expressed as rise per 12 inches of horizontal run. A 6/12 pitch rises 6 inches per foot of run (26.6 degrees). It determines material options, drainage, appearance, and construction cost.
What is the most common roof pitch?
4/12 to 9/12 for residential roofs. 6/12 is very common — it provides good drainage, adequate attic space, and works with all standard roofing materials.
How do I measure roof pitch?
From the attic: level against rafter, measure 12" along level, then measure the vertical rise. From outside: use a pitch gauge or phone inclinometer. From plans: divide total rise by total run, multiply by 12.
What's the minimum pitch for shingles?
2/12 with special underlayment per IRC R905.2. Standard installation starts at 4/12. Below 2/12, use membrane roofing systems designed for low-slope applications.
How does pitch affect cost?
Steeper roofs cost 10–25% more due to increased area, slower installation, safety equipment needs, and more material. A 12/12 roof has 41% more area than the equivalent 4/12 roof over the same floor plan.
What pitch is "flat"?
Below 2/12 is classified as low-slope/flat. True flat roofs still have minimum 1/4" per foot slope for drainage. They require membrane roofing systems, not shingles.
Related Calculators
- Roof Area Calculator — total roof area from pitch and dimensions
- Shingle Calculator — shingles, underlayment, and cost
- Gutter Calculator — gutters and downspouts
Roof pitch calculations are geometric estimates. Consult a licensed roofing professional or structural engineer for material selection, load calculations, and code compliance per IRC Chapter 8 and local building codes.