Case 1
- Horizontal roof plan area
- 1000
- Rise for every 12 units of horizontal run
- 4:12
- Unit of the area you entered
- Square feet (ft²)
1,054 ft²
Open with these valuesChange any value to update the result.
1,118 ft²
Sloped roof surface area: 1,118 ft²Multiply the roof's horizontal plan area by its slope factor. A 1,000 ft² footprint at 6:12 gives about 1,118 ft² of roof surface. Include overhangs in the footprint; the result excludes waste, overlaps and package rounding.
Held fixed: Horizontal roof plan area 1,000.00, Unit of the area you entered Square feet (ft²).
| Rise for every 12 units of horizontal run (:12) | Sloped roof surface area |
|---|---|
| 0.00 | 1,000 ft² |
| 2.00 | 1,014 ft² |
| 4.00 | 1,054 ft² |
| 6.00Your value | 1,118 ft² |
| 8.00 | 1,202 ft² |
| 10.00 | 1,302 ft² |
| 12.00 | 1,414 ft² |
1,054 ft²
Open with these values1,118 ft²
Open with these values1,250 ft²
Open with these valuesroof surface area = horizontal plan area × √(1 + (pitch ÷ 12)²)
At 6:12, the roof rises 6 units for every 12 across. A right triangle with run 12 and rise 6 has a slope factor of √(1 + 0.5²), about 1.118. Multiply the horizontal area by that factor: 1,000 ft² becomes about 1,118 ft².
The input is the roof's horizontal projection, not the interior floor area and not an area already measured along the slope. Include the eaves and count each projected part once. The method works for roof planes sharing one pitch, including a simple hip roof with that common pitch.
Where pitches differ, calculate each non-overlapping projected area separately and add the results. Dormers, openings and detailed junctions require their actual dimensions. This tool does not calculate structural loads, usable solar-panel area or how many material packages to buy.
Use reliable drawings, a survey or a qualified professional. A calculation does not make roof access safe.
Waste, overlaps and effective package coverage depend on the chosen material and roof details. No universal allowance is included.
| Pitch | Published rounded factor | Surface for 1,000 ft² plan |
|---|---|---|
| 4:12 | 1.054 | about 1,054 ft² |
| 6:12 | 1.118 | about 1,118 ft² |
| 9:12 | 1.250 | 1,250 ft² |
| 12:12 | 1.414 | about 1,414 ft² |
No. House floor area may cover several storeys and excludes overhangs, while this input is the roof's horizontal projection.
Multiply its horizontal plan area by √1.25, approximately 1.118. A 1,000 ft² plan gives about 1,118 ft² of surface before material allowances.
Yes. Enter square metres and choose m²; the same dimensionless pitch factor applies, but switching the label does not convert an existing number.
Calculate each part using its own non-overlapping plan area and pitch, then add the surface areas. One average pitch is not generally equivalent.
No. A roofing square means 100 square feet of roof area, while bundle coverage depends on the product.
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