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Roofing Calculator

Roof area, squares, bundles and underlayment — from the footprint you can actually measure on the ground.

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The area of a roof is not the area of the building underneath it. A sloped roof covers more ground than its footprint, and how much more depends entirely on the pitch. A roof at a 6/12 pitch has about 12% more surface than its footprint; at 12/12 the factor is 1.414, so the roof covers more than 40% extra.

This calculator takes the building footprint you can measure from the ground, adds the overhang, applies the pitch factor, and returns the roof area along with the quantities roofers actually order in: squares, shingle bundles and underlayment rolls.

The formula

Pitch factor = √(1 + (rise ÷ 12)²)  ·  Roof area = footprint × pitch factor  ·  Squares = roof area ÷ 100

The footprint includes the overhang on all sides, because the roof extends beyond the walls.

What a roof square is

A square is 100 square feet of roof surface — a 10 by 10 foot patch. It is the unit the entire roofing trade quotes in across the United States and Canada, and it exists because a roofer's materials all scale from it: three bundles of asphalt shingles cover one square, and a roll of underlayment covers a neatly stated number of squares.

Roofers talk in squares rather than square feet for the same reason builders talk in cubic yards of concrete — the unit is the size of the thing being ordered. A “25 square roof” is 2,500 square feet of surface. If a quote arrives in squares and your own measurement is in square feet, divide by 100 before comparing.

Measuring the footprint and adding the overhang

Measure the building's external dimensions at ground level, then add the overhang on each side. The overhang is usually 12 to 24 inches at the eaves, and often 12 inches or less at the gable ends, though it varies by design and by climate — deep overhangs shade walls and shed water well away from the foundation, which is why they are common in hot and wet regions.

If you can get onto the roof safely, measuring the sloping surface directly removes any doubt. If you cannot, the footprint plus pitch method here is accurate to within a couple of percent, which is well inside the waste allowance you should be applying anyway.

Reading the pitch

Pitch is written as rise over run in twelfths — a 6/12 roof rises 6 inches for every 12 inches of horizontal run, which is a 26.6° angle. The common ones and what they are used for:

  • 2/12 to 4/12 (9.5°–18.4°) — low slope, needs a double underlayment or a membrane, common on porches and extensions
  • 4/12 to 6/12 (18.4°–26.6°) — the standard range for domestic roofs in most climates
  • 6/12 to 9/12 (26.6°–36.9°) — steeper, sheds snow and rain quickly, gives more attic space
  • 9/12 and above (36.9°+) — steep, used for snow shedding and architectural effect, and slower and more expensive to roof

Below about 2/12 the roof is not really pitched at all and needs a membrane system rather than shingles or tiles, because shingles rely on gravity and overlap to shed water and will not do it on a near-flat surface.

Worked example

A building 40 feet by 24 feet with an 18 inch overhang on all sides has an effective footprint of 43 × 27 = 1,161 square feet. At a 6/12 pitch the factor is √(1 + 0.25) = 1.118, giving a roof area of about 1,298 square feet — 12.98 squares, or 13 squares in trade terms.

At three bundles per square that is 39 bundles before waste, or 43 with a 10% allowance. Underlayment at 10 squares per roll is two rolls. The ridge on a gable roof of these dimensions runs the building's length, so it is 43 feet — the long dimension, not the 27 foot span the slopes fall across. Mixing those two up is a common estimating error and leaves you short of ridge cap.

Now change the pitch to 12/12. The factor jumps to 1.414 and the roof area to 1,642 square feet — an extra 344 square feet of covering, or 26% more material, on exactly the same building.

Waste, valleys and the complicated bits

Ten percent waste is a reasonable default for a simple gable roof. Increase it for a hip roof, which has four planes meeting at hips and produces far more offcuts; for any roof with valleys where two planes intersect; for very steep pitches where every cut is awkward; and for complex outlines with dormers, chimneys and changes of direction.

The calculator does not deduct for chimneys, skylights or vents, and it does not add for valley flashing, starter strip, drip edge or ridge vents. Treat the material figures as the covering quantity only, and price the flashings, fixings and ventilation separately — on a typical roof they add a meaningful percentage to the materials bill.

Pitch factor by roof pitch
Pitch (rise per 12)AnglePitch factorRoof area per 1,000 ft² footprint
2/129.5°1.0141,014 ft²
3/1214.0°1.0311,031 ft²
4/1218.4°1.0541,054 ft²
5/1222.6°1.0831,083 ft²
6/1226.6°1.1181,118 ft²
7/1230.3°1.1581,158 ft²
8/1233.7°1.2021,202 ft²
9/1236.9°1.2501,250 ft²
10/1239.8°1.3021,302 ft²
12/1245.0°1.4141,414 ft²

Frequently asked questions

How do I calculate roof area?
Multiply the footprint, including the overhang, by the pitch factor. The pitch factor is the square root of 1 plus the rise over 12 squared. For a 6/12 pitch that is √(1 + 0.25) = 1.118, so a 1,000 square foot footprint has a 1,118 square foot roof.
How many bundles of shingles do I need?
Three bundles cover one square, and a square is 100 square feet of roof surface. So a 13 square roof needs 39 bundles before waste. Add 10% for a simple gable roof and 15% or more for a hip roof, valleys or a steep pitch — the calculator includes a waste field for this.
What is a roofing square?
A square is 100 square feet of roof surface. It is the standard unit of the roofing trade, chosen because all the material quantities scale from it — three bundles of shingles, and a stated number of squares per roll of underlayment. A 25 square roof is 2,500 square feet.
Does roof area include the overhang?
Yes, and it must. The roof extends past the walls on all sides, so the correct footprint is the building dimensions plus the overhang at each edge. With an 18 inch overhang on a 40 × 24 foot building, the effective footprint is 43 × 27 feet rather than 40 × 24 — nearly 21% more area before the pitch is even considered.
How do I work out my roof pitch?
Measure 12 inches horizontally along the roof from a point near the eave, then measure how far the roof has risen vertically over that distance. If it rose 6 inches, your pitch is 6/12. On a drawing or in a specification the pitch is often given directly as a ratio or an angle.
How much underlayment do I need?
Synthetic underlayment commonly comes in 10 square rolls — a 10 ft × 100 ft roll — so a 13 square roof needs two. Coverage varies between products, and 3 ft wide rolls cover far less, so the calculator lets you enter the figure from the roll you are buying rather than assuming a size. Divide your roof squares by that coverage and round up.

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About the company that publishes these tools

Al Sadat Builders is a construction contractor based in Islamabad, Pakistan, led on site by Syed Mujtaba Shah. These calculators are free to use wherever you are — they print no currency and assume no country. If you are building in Islamabad, Rawalpindi or Bani Gala, we can survey the plot, price the job and hand you an itemised BOQ.

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