Roof Pitch Calculator

Calculate roof pitch, angle, and rafter length from rise and run.

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Roof Pitch Calculator

The rafter multiplier (also called the slope factor) converts floor area to roof surface area. A 4/12 pitch has a multiplier of 1.05, meaning the roof has 5% more surface area than the floor footprint. Roofing materials are quoted per square (100 sq ft) - multiply your total roof area by the material cost per square.

What This Calculator Does

The Roof Pitch Calculator computes the slope, angle in degrees, and rafter length per foot of run from your roof's rise and run measurements. Enter the rise (vertical increase in inches) over a standard 12-inch run to get the roof pitch ratio, angle, and rafter multiplier.

Roof pitch determines which roofing materials you can use, affects attic space, and influences cost. A low-slope roof (2/12 to 4/12) is common on modern homes and can use standard asphalt shingles. A steep roof (8/12 or higher) requires specialized installation and more materials - increasing cost by 15-40% compared to a low slope. The rafter multiplier is essential for converting attic floor area to actual roof surface area for material ordering.

Standard US residential roof pitches range from 3/12 (low) to 9/12 (steep). Common is 4/12 to 6/12. Enter your rise measurement and the calculator returns everything needed to quote roofing materials.

How to Use

  1. Measure the roof rise: from the top of the wall plate, measure vertically to the underside of the ridge board or rafter at a point 12 inches horizontally from the edge.
  2. Alternatively, use a pitch gauge app or speed square directly on an existing rafter.
  3. Enter the rise in inches into the field (for a 4/12 pitch, enter 4). The run defaults to 12 inches.
  4. Click "Calculate" to get the pitch ratio, angle in degrees, and rafter length per 12 inches of run.
  5. Multiply the rafter length per foot by the total run to get full rafter length for material ordering.

Worked Examples

1

Standard Gable Roof

A 6/12 pitch residential gable roof with a total horizontal run of 14 ft from wall to ridge, covering a 40 ft long house.

  1. Rise per 12 inches of run: 6 inches.
  2. Rafter length per ft of run: sqrt(6^2 + 12^2) / 12 = 13.42 / 12 = 1.118 ft per ft of run.
  3. Rafter length for 14-ft run: 14 x 1.118 = 15.65 ft per rafter.
  4. Roof area multiplier: 1.118 (each sq ft of floor area equals 1.118 sq ft of roof surface).
  5. Total roof area for 40-ft house: 2 sides x 14 x 1.118 x 40 = 1,252 sq ft or 12.5 squares.

Result: A 6/12 roof requires rafters of approximately 15.7 ft for a 14-ft run, with total roof area of about 12.5 squares for a 40-ft long house.

At 6/12 pitch the roof is walkable with proper footwear, but OSHA recommends fall protection for any pitch over 4/12. Use the area multiplier to order shingles accurately.

Reference Table

Roof pitch reference table - angles, rafters, and area multipliers
Pitch (X:12)Angle (deg)Rafter/ftArea MultiplierCommon Use
2:129.5deg12.2 in1.02Low-slope, flat roof
4:1218.4deg12.7 in1.05Standard residential
6:1226.6deg13.4 in1.12Moderate slope
8:1233.7deg14.4 in1.20Steep, Victorian
10:1239.8deg15.6 in1.30Very steep
12:1245.0deg17.0 in1.42Maximum steep

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