Roof Pitch to Angle Converter
Convert roof pitch to degrees or degrees to pitch.
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What this tool does
Convert roof pitch to degrees or degrees to pitch. Only nonvertical roof slopes from 0 to below 90 degrees are supported.
How to use the Roof Pitch to Angle Converter
- Enter or select roof rise per 12 inches of run in in.
- Enter or select convert.
- Enter or select roof angle (degrees).
- Read the calculated result; change any measurement to compare alternatives.
Formula
angle = atan(pitch/12)×180/π; pitch = 12×tan(angle×π/180)
- rise
- Roof rise per 12 inches of run (in, before metric conversion)
- direction
- Convert
- angle
- Roof angle (degrees)
Only nonvertical roof slopes from 0 to below 90 degrees are supported.
Worked example
For roof pitch to angle converter, the following measurements illustrate the exact method: Roof rise per 12 inches of run: 6; Convert: pitch; Roof angle (degrees): 26.565.
Inputs
- Roof rise per 12 inches of run6 in
- ConvertPitch to degrees
- Roof angle (degrees)26.565
Result
- Angle (degrees)26.57
Results explained
- Angle (degrees)
- Angle (degrees) from the formula above. Only nonvertical roof slopes from 0 to below 90 degrees are supported.
Frequently asked questions
Apply arctangent to pitch/12; reverse conversion uses 12 times the tangent of the angle.
Choose direction and enter pitch or degrees.
Use 5–10% for simple layouts and 10–15% for diagonal cuts or complicated outlines; the allowance is editable.
Split the outline into rectangles or triangles and calculate each section separately. Do not count overlapping sections twice.
This is a purchasing estimate, not a structural design. Confirm measurements and local requirements before buying or building.