Roof Pitch Calculator

Convert between rise/run (X/12), degrees, and % slope — all three representations of the same roof angle.

Inputs

Pick whichever the spec / job site gives you; the other two are derived.

US convention quotes rise per 12" of run.

100% = 45°; 50% = 26.57° (6/12 pitch).

Result

Roof pitch
6.00 / 12
26.57° · 50.0% slope · slope factor 1.1180.
  • Pitch (rise / 12)6.00 / 12
  • Angle (degrees)26.565°
  • Angle (radians)0.46365
  • Slope %50.00%
  • Rise per 12" run6.000 in
  • Slope factor (rafter length per ft of run)Multiply your horizontal projection by this to get true rafter length.1.1180
  • Industry categorySteep conventional (6/12 - 8/12) — most US suburban roofs.

Step-by-step

  1. atan2(6, 12) = 26.565°.
  2. tan(26.565°) = 0.50000 = rise/run.
  3. Rise per 12" run = tan(θ) · 12 = 6.000 in.
  4. Slope % = tan(θ) · 100 = 50.00%.
  5. Slope factor (rafter / run) = 1/cos(θ) = 1.1180.

How to use this calculator

  • Choose the input you have (rise/run from blueprints, degrees from a smart-level app, % from a topo survey).
  • The other two formats appear automatically.
  • Multiply your horizontal floor projection (in feet) by the slope factor to size rafters and roofing material.

About this calculator

Three names for the same roof angle. **Rise/run (X/12)** is the US building-trade convention — "this roof is 6 in 12" means 6 inches of rise per 12 inches of horizontal run. **Degrees** is the geometric form (6/12 = 26.57°). **Percent slope** is the civil-engineering form (6/12 = 50%). The slope factor (1/cos θ) is what you multiply the horizontal run by to get true rafter length — a 6/12 pitch makes the rafter ~12% longer than the run. The industry category line maps the pitch to the appropriate roofing system: anything ≤ 2/12 needs a built-up or membrane roof (asphalt shingles fail at low slope); 4-8/12 is standard shingle territory; 12/12+ may need fall protection.

Frequently asked

Tradesperson convenience. A framing square has a 12" leg; setting the rise on it directly gives the cut angle for rafters. The "/12" denominator stays constant so two roofers can compare "6/12" vs "8/12" without re-doing the math.

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