How to calculate roofing
- Footprint: measure the house on the ground, adding the overhang on every side: 40 × 30 = 1,200 square feet. If you measure in inches, divide square inches by 144 for square feet (NIST: tables of units of measurement).
- Pitch: a sloped roof has more area than its footprint. Multiply by the pitch factor, √(1 + (rise ÷ 12)²). For 6/12 that is 1.1180, so the roof is 1,341.641 square feet.
- Squares: roofers count in squares of 100 square feet: 13.42 squares, or 14.76 with 10% extra.
- Bundles: multiply by the bundles per square on the wrapper and round up: 45 bundles.
The same pitch factor works for a hip roof as for a gable roof, as long as every face has the same pitch: each face's area is its footprint divided by the cosine of the slope. For roofs with different pitches, work out each section separately.
Pitch factors
At a 12/12 pitch, the example roof needs 57 bundles instead of 45.
Roof area per square foot of footprint
| Pitch | Pitch factor |
|---|---|
| 3/12 | 1.031 |
| 4/12 | 1.054 |
| 6/12 | 1.118 |
| 8/12 | 1.202 |
| 10/12 | 1.302 |
| 12/12 | 1.414 |
Bundles per square and waste
Most three-tab and architectural shingles come three bundles to a square; some heavier shingles are four, which for the example means 60 bundles. Allow about 10% extra for a simple gable roof, around 15% for hips, valleys or dormers, and more for complex roofs. The manufacturer's coverage on the wrapper takes precedence.
What this calculator does not include
- Ridge caps, starter strip, underlayment, drip edge, flashing, ventilation and nails.
- Tearing off the old roof, disposal and labor.
- Roofs whose faces have different pitches. Work out each section separately and add them.
Results are estimates for planning a purchase. A roofer's measurement of your roof may differ.
Methodology and testing
Automated tests compare roof area, squares and bundles with an independent calculation, including a check that the pitch factor gives the same area as the face-by-face geometry of a hip roof. How we build and test calculators.
Sources
- NIST Handbook 44, Appendix C: General Tables of Units of Measurement, National Institute of Standards and Technology. US customary units: 1 square foot = 144 square inches, 1 cubic yard = 27 cubic feet, 1 short ton = 2,000 pounds.
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