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Construction Guide

Roof Pitch Explained: Rise, Run, Slope and Angle

Roof pitch describes how steep a roof is. It may be expressed as rise over run, as an angle in degrees, as a percentage slope or through a slope factor used when estimating roof surface area.

What does roof pitch mean?

In common U.S. construction notation, roof pitch is usually expressed as inches of vertical rise for every 12 inches of horizontal run. A 6:12 roof rises 6 inches for every 12 inches of run.

Pitch = Rise ÷ Run

Common roof pitch examples

  • 3:12 — 3 inches of rise for each 12 inches of horizontal run
  • 4:12 — 4 inches of rise for each 12 inches of run
  • 6:12 — 6 inches of rise for each 12 inches of run
  • 8:12 — 8 inches of rise for each 12 inches of run
  • 12:12 — equal rise and run

Convert roof pitch to slope percentage

Slope percentage compares vertical rise with horizontal run and multiplies the ratio by 100.

Slope % = (Rise ÷ Run) × 100

Convert pitch to roof angle

The roof angle is the arctangent of rise divided by run. For example, a 6:12 pitch corresponds to an angle of approximately 26.6 degrees.

Angle = arctan(Rise ÷ Run)

What is roof slope factor?

The slope factor converts horizontal projected area into sloped roof surface area. Steeper roofs have larger slope factors because the roof surface travels farther than the horizontal footprint beneath it.

Slope factor = √(1 + (Rise ÷ Run)²)

Why roof pitch matters

  • It affects roof surface area.
  • It changes roofing-material quantities.
  • It influences drainage and roof geometry.
  • It affects access and installation difficulty.
  • Some roofing products have minimum-slope requirements.
Safety

Measuring an existing roof can involve fall hazards. Use measurements available from plans, attic spaces or safe ground-based methods where possible.