c+CalcLantern

Sloped roof area

Convert a roof footprint and pitch to covering area.

How this works

Expand the footprint by the overhang, then multiply by √(1 + (rise/12)²).

Example

Using the example inputs, covering area with allowance is 1,652.901449 ft².

Footprint length
40 ft
Footprint width
30 ft
Overhang on each side
1 ft
Rise per 12 inches run
6 in
Extra allowance
10 %
Covering area with allowance
1,652.901449 ft²

Scope and assumptions

Quantity/geometry estimate only. Not structural design, building-code approval, or installation instructions.

OpenStax mathematics reference

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