Roof Pitch Calculator
Pitch, angle and rafter length from rise and run.
Roofing & Siding
Your result
Sample values14.76
Squares
1,476
Roof area, ft²
45
Bundles
4
Rolls of underlayment
| Item | Quantity |
|---|---|
| Shingle bundles | 45 bundles |
| Squares covered | 14.76 squares |
| #15 underlayment, 400 ft² rolls | 4 rolls |
| Starter strip, 100 ft rolls | 2 rolls |
| Ridge cap, linear feet | 40 ft |
Measure the footprint of the building on the ground rather than trying to measure the roof itself, then enter the pitch. Pitch is what turns a flat footprint into real roof area, and on a steep roof the difference is large — a 12:12 roof has over forty percent more surface than the ground it covers.
Check the bundles per square on the wrapper before ordering. Three tab shingles are almost always three bundles to the square, but architectural and designer laminates run to four or five, and getting it wrong is a third of the order.
Formula
Slope factor = √(1 + (Pitch ÷ 12)²)
Roof area = Footprint × Slope factor × (1 + Waste)
Squares = Roof area ÷ 100
Bundles = ceil(Squares × Bundles per square)
Underlayment is estimated at 400 ft² per roll of #15 felt.
A 40 ft by 30 ft footprint at 6:12, three tab shingles, 10% waste.
14.76 squares, or 45 bundles
The square is the unit everything in roofing is quoted in, so it is the figure to take to a supplier. One square is 100 square feet of finished roof, not of ground.
Waste is not padding. A simple gable genuinely wastes close to ten percent in starter courses and ridge cuts; a roof with hips, valleys and dormers wastes far more because every cut through a valley produces an offcut too small to use. If the roof is complicated, fifteen percent is a fairer allowance than ten.
Questions
Keep going
Pitch, angle and rafter length from rise and run.
Truss count and spacing across a span.
Panel, trim and labour cost for metal roofing.
Rafter lengths and angles for a gambrel frame.