BuildMaterialCalc

Roofing

Roof Slope Calculator

Use this roof slope calculator to convert between rise/run, pitch (X/12), degrees, and percent slope. Also returns the pitch multiplier — multiply your roof footprint by this to get true roof surface area for shingle, underlayment, and material orders.

Roof Pitch

A 6/12 pitch means 6 inches of rise per 12 inches of horizontal run.

Pitch

6/12rise / run

26.57° from horizontal · slope multiplier 1.118.

Angle
26.57°
Slope %
50%
Roof area
1,342 ft²
Squares
13.4

Formula

Slope multiplier = √(rise² + run²) ÷ run

How to use this calculator

  1. Enter the rise. How many inches the roof rises in one foot of horizontal run, or use the rise/run measurement directly.
  2. Enter the run. Standard run is 12" — the "X in 12" pitch. So a 6/12 pitch = 6" rise per 12" run.
  3. Read the conversions. The calculator returns pitch in X/12 format, slope angle in degrees, percent slope, and the pitch multiplier for area calculations.
  4. Use multiplier for area. Roof area = footprint × multiplier. A 6/12 roof on a 1,500 ft² footprint is 1,500 × 1.118 = 1,677 ft² of roof.

Formula

Slope = rise / run; Pitch = rise / 12; Multiplier = √(1 + (rise/run)²)

Worked example

A roof with 6 inches of rise per 12 inches of run: 6/12 pitch, 26.57° slope, 50% slope, multiplier 1.118. A 1,500 ft² footprint becomes 1,677 ft² of roof — that's the area that needs shingles.

Common project sizes

Quick reference for the most common roof slope calculator use cases. Use these as a sanity check on your calculator inputs.

ProjectDimensionsResult
4/12 pitch (low)4" rise / 12" run18.43° · 33.3% · multiplier 1.054
6/12 pitch (standard)6" rise / 12" run26.57° · 50% · multiplier 1.118
8/12 pitch (steep)8" rise / 12" run33.69° · 66.7% · multiplier 1.202
12/12 pitch (very steep)12" rise / 12" run45° · 100% · multiplier 1.414

Tips for accurate results

  • Pitch (X/12) is the U.S. industry convention. Slope as a percent is rare in roofing — used more in civil engineering and drainage.
  • A 4/12 pitch is the minimum for asphalt shingles per most manufacturer warranties. Anything flatter requires roll roofing or membrane.
  • 12/12 (45°) is the maximum walkable pitch with normal safety gear. Above 12/12, you need roof brackets or scaffolding.
  • For true roof area (the surface that needs shingles), always multiply your building footprint by the pitch multiplier — never just use the floor plan area.
  • Older homes may have mixed pitches across multiple roof sections. Calculate each section separately and sum.

When to consult a pro

Slope and area calculations are simple math but easy to get wrong if you measure with a tape from the ground. For accurate results, climb up safely with a level (or use a smartphone level app set on the roof), measure rise across a known run, and recheck on multiple roof planes if pitches differ. For complex multi-pitch homes, hire a roofer to do the takeoff — your shingle order will be more accurate.

FAQ

Frequently asked questions

  • Slope = rise / run. To express as pitch: rise / 12 (always). To express as degrees: arctan(rise/run). To express as percent: (rise/run) × 100.

Reference

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