Builder's Math

Calculators / Roofing calculator

Roofing calculator

Estimate how many squares of shingles a roof needs from the size of the house and the roof pitch.

in
in
%
Add prices (optional)
$

Result

The formulas

Footprint        = (length + 2 × overhang) × (width + 2 × overhang)
Pitch multiplier = √(1 + (rise ÷ 12)²)
Roof area        = footprint × pitch multiplier
Squares          = roof area ÷ 100      Bundles = squares × 3
Roof pitch: the roof rises 6 inches for every 12 inches of horizontal run, a 6/12 pitch 12 in run 6 in rise Roof surface: 6/12 pitch
Pitch is the rise in inches for every 12 inches of run. Steeper roofs have more surface to cover.

Example: a 40 × 30 ft house with a 12-inch overhang and a 6/12 roof: 42 × 32 = 1,344 square feet × 1.118 = 1,503 square feet, or 15 squares. With 10% extra you need 50 bundles.

Quick answers for common house sizes

Bundles of shingles with 10% extra.
Footprint with overhang4/12 pitch6/12 pitch8/12 pitch
1,000 sq ft353740
1,500 sq ft535660
2,000 sq ft707480
2,500 sq ft8793100

Pitch multipliers

PitchMultiplier
3/121.031
4/121.054
5/121.083
6/121.118
7/121.158
8/121.202
9/121.250
10/121.302
12/121.414

Good to know

  • This works for simple gable and hip roofs. Valleys, dormers and turrets add waste; use 15 percent or more for complex roofs.
  • Ridge caps, starter strips, underlayment and flashing are bought separately.

Sources and assumptions

Three bundles per square is the standard coverage of 3-tab and most architectural asphalt shingles; heavier designer shingles can take four or five, so check the wrapper.

Questions

What is a square in roofing?

100 square feet of roof surface. A 1,500 square foot roof is 15 squares.

How many bundles of shingles are in a square?

Three for most asphalt shingles. Some heavier designer shingles take four or five; check the wrapper.

How do I find my roof pitch?

Pitch is how many inches the roof rises for every 12 inches across. Hold a level 12 inches out from the roof surface and measure straight up to the roof.

Related calculators