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Roofing squares and pitch calculator

Turn the footprint and pitch of a roof into its true surface area, then into squares, bundles, underlayment, drip edge and ridge cap, or tiles and membrane if you work in metres.

The roof

Materials

Squares
Squares to order (with waste)

1 square = 100 sq ft of roof surface

Pitch multiplier
Pitch angle (°)
True roof area (sq ft)
Area with waste (sq ft)
Shingle bundles
Underlayment rolls
Drip edge, 10 ft pieces
Ridge cap bundles
Rafter length (ft)
See the Roofer Kit

Rounded up to whole bundles, rolls and pieces. Check the coverage printed on your products.

How it works

  • Pitch multiplier = √(1 + (rise ÷ 12)²) for a pitch in inches per 12, or 1 ÷ cos(angle) for a pitch in degrees.
  • True roof area = plan area × pitch multiplier. Area with waste adds your waste percentage.
  • Squares = area with waste ÷ 100. Bundles = squares × bundles per square, rounded up.
  • Underlayment or membrane rolls = true area ÷ roll coverage, rounded up. Add more if your rolls need wide laps.
  • Rafter length = run × pitch multiplier, before any overhang or ridge-board allowance.

Pitch multipliers

The common pitches, from a low 2/12 to a steep 12/12.

2/12 (9.5°)1.014
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
11/12 (42.5°)1.357
12/12 (45.0°)1.414

Three worked examples

Each was checked against a separate calculation. Enter the same numbers above and you will get the same results.

Example 1

Gable roof, 6/12, architectural shingles

Plan area2,000 sq ft
Pitch / waste6/12, 10%
Coverage3 bundles per square, 1,000 sq ft rolls
Edges220 ft eave + rake, 40 ft ridge, 33 ft per cap bundle
Rafter run15 ft
Pitch multiplier1.118
True roof area2,236.07 sq ft
Squares with waste24.6
Bundles74
Underlayment rolls3
Drip edge pieces22
Ridge cap bundles2
Rafter length16.77 ft

Example 2

Steep 12/12 roof with hips

Plan area1,500 sq ft
Pitch / waste12/12, 15%
Coverage3 bundles per square, 400 sq ft felt rolls
Edges180 ft eave + rake, 30 ft ridge and hips, 20 ft per cap bundle
Rafter run12 ft
Pitch multiplier1.414
True roof area2,121.32 sq ft
Squares with waste24.4
Bundles74
Felt rolls6
Drip edge pieces18
Ridge cap bundles2
Rafter length16.97 ft

Example 3

Concrete tile roof in metres, 35°

Plan area120 m²
Pitch / waste35°, 10%
Coverage10 tiles per m², 50 m² membrane rolls
Ridge10 m at 0.45 m per ridge tile
Rafter run4.5 m
Pitch multiplier1.221
True roof area146.49 m²
Area with waste161.14 m²
Tiles1,612
Membrane rolls3
Ridge tiles23
Rafter length5.49 m

Roofer spreadsheets

Now do it for every roof.

Five spreadsheets: quotes and invoices, a roof area calculator, a material list, a re-roof quote and a job profit tracker. Pick your country.

One payment. Download for 365 days; the files are yours to keep. Compare the countries.

Questions

How do I convert a plan area to roof area?

Multiply the plan (footprint) area by the pitch multiplier. For a 6/12 pitch the multiplier is 1.118, so 2,000 sq ft of plan becomes 2,236 sq ft of roof surface.

What is a roofing square?

100 square feet of roof surface. Most shingles come three bundles to the square, so a 24.6-square roof needs 74 bundles once rounded up.

How do I find the pitch?

Measure how many inches the roof rises over 12 inches of level run, for example with a level and tape on a rafter or in the attic. In metric, use the angle in degrees from the plans or an angle finder.

Does the pitch multiplier work for hip roofs?

Yes for the roof area: every plane of a roof with one pitch rises at the same rate, so plan area times the multiplier gives the surface area. Hip and valley lengths themselves are longer than common rafters, so measure them for ridge cap and valley materials.

Is the result exact?

It is as exact as your measurements. The calculator rounds materials up to whole bundles, rolls and pieces; always check the coverage printed on the products you buy.