Roof Pitch and Area
Convert rise and run to pitch angle and sloping area.
Your numbers
Roof angle
Planning estimate from your measurements and assumptions. Confirm dimensions, product coverage and local installation requirements before buying.
Scenario comparison
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Formula
Use θ = atan(r/l) and S = A√(1+(r/l)²). r is roof rise and l is horizontal run in the same unit. A is horizontal projected area and S is sloping area in the same area unit. The angle is displayed in degrees.
Convert rise and run to pitch angle and sloping area.
Worked example
- Roof rise (m)
- 3
- Horizontal run (m)
- 4
- Horizontal projected roof area (m²)
- 80
- Roof angle
- 36.8699 °
- Slope rise per 12 run
- 9
- Sloping area
- 100 m²
Scope and limitations
Planning estimate from your measurements and assumptions. Confirm dimensions, product coverage and local installation requirements before buying.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 8d0f5722fae6 · Example checked: