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Roof Pitch Calculator
Roof pitch, angle and slope multiplier from rise and run.
How it's calculated
Pitch is the rise per 12 inches of run: rise ÷ run × 12. Angle = arctan(rise ÷ run). The multiplier, √(1 + (pitch ÷ 12)²), converts flat footprint area into actual sloped roof area.
Example
6 inches of rise over 12 of run is a 6/12 pitch, 26.6°, with a 1.118 multiplier.
Common pitches
| Pitch | Angle | Multiplier |
|---|---|---|
| 3/12 | 14.0° | 1.031 |
| 4/12 | 18.4° | 1.054 |
| 5/12 | 22.6° | 1.083 |
| 6/12 | 26.6° | 1.118 |
| 7/12 | 30.3° | 1.158 |
| 8/12 | 33.7° | 1.202 |
| 9/12 | 36.9° | 1.250 |
| 10/12 | 39.8° | 1.302 |
| 12/12 | 45.0° | 1.414 |
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