Roofing Calculator
Calculate roof area from footprint and pitch, find shingle squares and bundles needed, estimate material costs, and explore pitch conversions with a visual roof diagram.
1,860
Roof Area (ft²)
18.6
Squares
62
Bundles
Roof Area from Footprint + Pitch
Enter your house footprint and roof pitch. The pitch multiplier converts flat area to actual sloped surface area.
Common Pitches
Roof Area
1,860
sq ft
6:12 pitch (26.6°)
18.6 sq
Squares
62 bundles
Bundles
Roof Cross-Section
1,860 ft²
Roof Area
1.1180×
Pitch Multiplier
18.60 sq
Squares
—
Est. Cost
Roof Area — 50×30 ft, 6:12 pitch
1,664 ft²
Footprint
1.1180×
Pitch Multiplier
1,860 ft²
Roof Area
172.8 m²
Roof Area (m²)
18.60
Roofing Squares
56
Bundles (3/sq)
62
Bundles +10%
26.6°
Pitch Angle
52.00 ft
Adj. Length
32.00 ft
Adj. Width
Pitch Reference Table
| Pitch | Angle° | Multiplier | % Grade | Category | Common Use |
|---|---|---|---|---|---|
| 1:12 | 4.8 | 1.0035 | 8.3% | Flat/Low | Commercial flat roofs |
| 2:12 | 9.5 | 1.0138 | 16.7% | Flat/Low | Commercial flat roofs |
| 3:12 | 14.0 | 1.0308 | 25.0% | Low | Low residential |
| 4:12 | 18.4 | 1.0541 | 33.3% | Low | Low residential |
| 5:12 | 22.6 | 1.0833 | 41.7% | Moderate | Most common |
| 6:12 | 26.6 | 1.1180 | 50.0% | Moderate | Most common |
| 7:12 | 30.3 | 1.1577 | 58.3% | Steep | Traditional homes |
| 8:12 | 33.7 | 1.2019 | 66.7% | Steep | Traditional homes |
| 9:12 | 36.9 | 1.2500 | 75.0% | Steep | Traditional homes |
| 10:12 | 39.8 | 1.3017 | 83.3% | Very Steep | High-pitched |
| 12:12 | 45.0 | 1.4142 | 100.0% | Very Steep | High-pitched |
| 16:12 | 53.1 | 1.6667 | 133.3% | Very Steep | Very steep/decorative |
Roof Area & Roofing Calculations
Roofing calculations start with the roof's footprint (the flat, horizontal area), then apply the pitch multiplier to get the actual sloped surface. A 6:12 pitch has a multiplier of about 1.118, meaning a 1,000 sq ft footprint has 1,118 sq ft of actual roof surface.
Key Formulas
Pitch Multiplier = √(1 + (pitch/12)²) · Roof Area = Footprint × Pitch Multiplier · Roofing Square = 100 sq ft of roof area · Bundles = ceil(Squares × bundles_per_square × (1 + waste%)) · Pitch Angle = arctan(rise/12) [degrees] · Pitch % = (rise/12) × 100 · Common pitch multipliers: 3:12 → 1.031 | 4:12 → 1.054 | 5:12 → 1.083 | 6:12 → 1.118 | 8:12 → 1.202 | 12:12 → 1.414