Roof pitch & angle
Translate measured rise and horizontal run into pitch and angle.
How this works
Pitch = rise/run × 12; angle = arctan(rise/run).
Example
Using the example inputs, roof pitch is 6 in per 12 in.
- Vertical rise
- 6 in
- Horizontal run
- 12 in
- Roof pitch
- 6 in per 12 in
Scope and assumptions
Quantity/geometry estimate only. Not structural design, building-code approval, or installation instructions.
OpenStax mathematics reference