Projected area
This is the horizontal roof-edge footprint. It includes both sides of a simple gable because both planes project onto the same complete rectangle without overlap.
Start with the roof's horizontal footprint, account for eaves, then use the pitch multiplier to convert that footprint into sloped surface area. From there, roofing squares and material quantities are straightforward conversions.
Have the dimensions and pitch? Enter them in the roof area calculator →
Roof square footage is the area of the sloped roof surface, measured in square feet. It is not automatically the same as the building's floor area or the rectangle visible on a site plan. Those are horizontal, projected areas. A pitched roof has more surface because each roof plane travels uphill as it crosses that projection. The steeper the pitch, the larger the difference.
Roofing also uses a trade unit called a roofing square. One roofing square equals 100 square feet of roof surface. A 1,342-square- foot roof is therefore 13.42 squares before waste. A square is an area unit, not a square-shaped patch of roof, and it is not the same thing as a bundle. Bundle coverage depends on the product.
For a simple rectangular roof, measure the exterior length and width in feet. Stay on the ground when practical. Use dimensions that represent the roof edges, not just the exterior walls, because eaves project past the walls. Multiply the finished roof-edge length by the finished roof-edge width to get projected area.
Keep both dimensions in feet. Convert inches to decimal feet before multiplying: 6 inches is 0.5 foot, not 0.6 foot. A 30-foot by 40-foot roof-edge rectangle has a projected area of 30 × 40, or 1,200 square feet.
If the measurements run wall to wall, add the overhang at both ends of each affected dimension. A 1-foot eave on both ends adds 2 feet to that dimension. If you measured roof edge to roof edge already, do not add it again. Rake overhangs and eave overhangs may differ.
For an L-shaped building, porch, or addition, sketch the footprint, split it into non-overlapping rectangles, calculate each rectangle, and add the areas. Keep separate roof sections separate when their pitches differ; one multiplier cannot accurately represent several pitch groups.
Multiply projected area by the pitch multiplier. The multiplier is √(1 + (rise ÷ run)²). For a 6/12 roof, the rise-to-run ratio is 6 ÷ 12, or 0.5, and the multiplier rounds to 1.118. A 1,200-square-foot horizontal projection therefore becomes 1,200 × 1.118 = 1,341.6 square feet of sloped roof surface.
If the pitch is unknown, first measure and calculate the roof pitch. If the pitch is known but the multiplier is not, use the roof pitch chart. Keep full precision when available and round the displayed result at the end. For roofs with two identical gable planes, the footprint method already covers both planes; do not double the result.
This is the horizontal roof-edge footprint. It includes both sides of a simple gable because both planes project onto the same complete rectangle without overlap.
This is projected area multiplied by the applicable pitch multiplier. Calculate pitch groups separately when roof sections do not share the same slope.
Divide sloped roof area by 100. That single division is how to calculate roof squares: sloped area divided by 100. A 1,341.6-square-foot roof is 13.416 roofing squares, normally displayed as 13.42 squares before waste. That number describes roof size. It is not yet a purchase quantity.
Material ordering adds waste for cuts, laps, valleys, hips, starter courses, pattern alignment, and damaged pieces. Ten to fifteen percent is a typical planning range, not a promise. A plain gable may be near the low end; a cut-up roof can require more. Apply the job-specific allowance to sloped area, then divide by 100 or by the printed bundle coverage. The methodology documents the site's formula order, precision, and estimate boundaries.
Assume the 30-foot by 40-foot dimensions already run from roof edge to roof edge, so no additional overhang is needed. The projected area is 30 × 40 = 1,200 square feet. At 6/12, the pitch multiplier is 1.118. Multiplying 1,200 by 1.118 gives 1,341.6 sq ft of sloped roof surface.
For this example, 1,341.6 × 1.10 gives 1,475.8 sq ftafter display rounding. Divide by 100 to get 14.76 roofing squares. Keep the original roof area and waste-adjusted area labeled separately so they are not confused in a takeoff.
At exactly 33.33 sq ft of coverage per bundle, 1,475.8 ÷ 33.33 is more than 44 bundles, so round up to 45 bundles. Check the package: 33.33 sq ft is the example coverage, not a universal product rule. Continue in the roofing calculator to change waste and coverage without hiding the assumptions.
These hypothetical roof-edge dimensions already include overhangs. Section A is 30 × 40 ft at 6/12; Section B is 10 × 12 ft at 4/12. Each rectangle is a separate horizontal projection, with no overlap.
Apply the pitch multiplier to each section before adding: A contributes 1,341.6 sq ft and B contributes 126.5 sq ft. Sum the unrounded areas, then round for display: 1,468.1 sq ft, or 14.68 squares before waste. A full gable footprint already covers its two slopes; do not enter that same footprint twice.
With 10% waste and the calculator’s default coverage of three bundles per square, the next step gives 49 field-shingle bundles. Change coverage to match the package you buy; accessories remain separate.
Open this two-section example in the Roof Area Calculator → Then replace the sample measurements with your own.
A clean formula cannot repair the wrong measurement. Check the starting geometry and write down what each number represents.
Wall dimensions understate a roof that extends past the wall line. Add eaves to both ends where required, but never add them to a roof-edge measurement that includes them already.
Use a multiplier only on horizontal projected area. If a plane was measured along its sloped surface, that measurement already contains the pitch effect. Applying the multiplier again inflates the answer.
Convert dimensions before multiplying. Twelve feet 6 inches is 12.5 feet. Also keep X/12 pitch separate from real dimensions: the 12 in a 6/12 pitch is a ratio run, not a 12-foot building measurement.
Report measured roof area first, then show waste as a separate step. Calling a waste-adjusted quantity the roof's square footage makes later comparisons, bids, and product checks harder to audit.
Use the pre-waste sloped area when you need the physical size of the roof. Use a clearly labeled waste-adjusted area for material planning. Run your own dimensions through the roof area calculator to verify the footprint, pitch multiplier, square footage, and pre-waste squares in one chain.
When the surface area is settled, move to the roofing calculator for waste, squares, bundles, and an optional materials-only subtotal. Complex roofs still require separate plane measurements, and a planning estimate does not replace a field takeoff or product-specific order.
Short answers for checking footprint, pitch, squares, and waste.
Measure non-overlapping horizontal roof-edge rectangles, including eaves once. Multiply each rectangle by its own pitch multiplier, then add the sloped areas. The Roof Area Calculator can total one or two sections with different pitches.
Square feet measure roof surface area. One roofing square equals 100 square feet, so divide sloped roof area by 100 to convert it to roofing squares. Keep pre-waste roof size separate from the waste-adjusted material quantity.
Yes. If you measure exterior walls, add the eave overhang at both ends of each affected dimension before multiplying. If your ground measurement already runs from roof edge to roof edge, do not add the overhang again.
Ten to fifteen percent is a typical planning range, but it is not a promise for every roof. Valleys, hips, dormers, pattern alignment, starter courses, and product rules can change the allowance. Confirm it with the installer and product documentation.
No. A pitch multiplier converts horizontal projected area to sloped surface area. If the area was already measured on the sloped roof plane, multiplying again would count the slope twice and overstate the roof size.