Miscellaneous
Roof Pitch Calculator - Rise/Run, Degrees & Rafter Length
Convert any roof pitch between rise/run ratio, degrees, and percent slope. Calculate rafter length and roof surface area instantly. 100% client-side.
Results
Understanding roof pitch
Roof pitch (slope) is the measure of how steeply a roof rises. In the US it is expressed as a ratio of rise to run: x/12, meaning for every 12 inches of horizontal distance (run), the roof rises x inches. A 6/12 pitch is the most common residential slope.
Pitch conversion formulas
- Degrees: angle = atan(rise ÷ run)
- Percent slope: (rise ÷ run) × 100
- Rafter length: √(run² + rise²) scaled to the actual run
Rafter length calculation
The rafter runs from the ridge board to the outer wall plate, plus any overhang. The actual horizontal run equals half the building span plus the overhang distance. Use the Pythagorean theorem to find the rafter length from the run and the corresponding rise.
Roof surface area
For a simple gable roof, surface area = rafter length × building length × 2 (for both sides). Add 10–15% waste when ordering roofing materials to account for overlaps and cuts.
Pitch categories
- Flat / Low slope: 0/12 – 3/12 (0°–14°)
- Conventional: 4/12 – 9/12 (18°–37°)
- Steep: 10/12 – 12/12 (40°–45°)
- Very steep: above 12/12 (>45°)
Roofing material compatibility
| Material | Minimum pitch | Notes |
|---|---|---|
| Asphalt shingles | 2/12 | Special low-slope underlayment required below 4/12 |
| Metal (standing seam) | 1/12 (1²⁄₂°) | Concealed fasteners allow very low pitch |
| Metal (exposed fastener) | 3/12 | Requires foam closure strips at low pitches |
| Wood shakes / shingles | 4/12 | Requires proper spacing for drainage and ventilation |
| Clay or concrete tile | 4/12 | Heavy; verify structural load capacity |
| EPDM rubber membrane | 0/12 (flat) | Designed for low-slope and flat roofs |
| TPO / PVC membrane | 0/12 (flat) | Commercial flat roofing; heat-welded seams |
Roof drainage calculation
Gutter and downspout sizing depends on three factors: rainfall intensity, roof plan area, and runoff coefficient:
Flow (gal/min) = Rainfall intensity (in/hr) × Roof area (ft²) × 0.623 × Runoff coefficient For a typical residential shingle roof, use a runoff coefficient of 0.95. A 1,500 ft² roof in a region with a 4-inch/hour design storm produces approximately 3,500 gal/min of peak flow — informing gutter width (K-style 6-inch can handle ~2,000 gal/min) and downspout count (one 3×4-inch downspout per 600 ft² of roof is a common rule).