Construction & ContractorsRoofing Squares Model

Roofing Cost Calculator

Calculate complete new roof replacement costs with pitch geometry, roof squares, tear-off, underlayment, and materials.

Calculation Results

Roof Pitch & Square Formula

Sloped Area = Footprint × 1.10 × √(1 + (Pitch/12)²) | Squares = Sloped Area / 100
  • Roofing Square: Industry measurement equal to exactly 100 square feet of roof surface.
  • Pitch Multiplier: Calculates true sloped surface area based on roof rise over 12" run.
  • Tear-Off: Stripping existing roofing layers costs approximately $45 to $75 per square per layer.

Step-by-Step Worked Example

Scenario: Replacing a roof on a 2,000 sq ft footprint home with a 6/12 pitch and architectural shingles

Calculation Steps:

  1. Pitch Multiplier = √(1 + (6/12)²) = 1.118
  2. Actual Sloped Area = 2,000 × 1.10 × 1.118 = 2,460 sq ft
  3. Roof Squares = 2,460 / 100 = 24.6 squares
  4. Squares with 12% Waste = 24.6 × 1.12 = 27.6 squares
  5. Tear-Off Cost = 27.6 sq × $55.00 = $1,518.00
  6. Materials & Install = 27.6 sq × $420.00 = $11,592.00
  7. Total Roofing Cost = $1,518 + $11,592 = $13,110.00
Result: The roof replacement requires 27.6 squares at an estimated turnkey cost of $13,110 ($475 per square installed).

How to Use This Calculator

  1. 1Enter the ground footprint square footage of the building.
  2. 2Select the roof pitch (e.g. 6/12 is standard residential pitch).
  3. 3Choose the roofing material and specify if old shingles must be torn off.

Assumptions & Limitations

  • Estimates are based on standard national averages and current prevailing construction materials and contractor rates.
  • Actual trade bids may fluctuate according to local building code requirements, permit fees, and site topography.
  • Always obtain multiple written bids from licensed, bonded, and insured contractors before commencing work.

Frequently Asked Questions

What is a roofing square?

A roofing square is a standard unit of measure in roofing equal to 100 square feet. A 2,500 square foot roof equals 25 roofing squares.

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