Roof Pitch Calculator
Convert between rise/run (X/12), degrees, and % slope — all three representations of the same roof angle.
Result
- 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
- atan2(6, 12) = 26.565°.
- tan(26.565°) = 0.50000 = rise/run.
- Rise per 12" run = tan(θ) · 12 = 6.000 in.
- Slope % = tan(θ) · 100 = 50.00%.
- 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.