6 in rise over 12 in run (classic 6/12 roof)
- Rise = 6 in, Run = 12 in.
- Pitch (in 12) = (6 ÷ 12) × 12 = 6, so pitch = 6/12.
- Slope % = (6 ÷ 12) × 100 = 50%.
- Angle ≈ arctan(6 ÷ 12) ≈ 26.6°.
construction calculator
Find roof pitch, slope percent, and angle from rise and run.
Turn roof rise and run into clear pitch, slope percentage, and angle values without doing trigonometry by hand. This roof pitch calculator helps you move quickly from basic measurements to the numbers you need for layout, bevel cuts, and material checks.
Roof pitch is commonly expressed as inches of rise over 12 inches of run (for example, 6/12). If you enter rise and run in inches, the calculator normalizes the run to 12 inches and reports the equivalent pitch per 12.
Slope percentage is another way to describe the same relationship: slope % = (rise ÷ run) × 100. A 6/12 pitch is roughly a 50% slope because 6 ÷ 12 = 0.5.
The angle in degrees is the arctangent of rise ÷ run. This is the angle you would set on a miter saw or bevel gauge for plumb cuts, rafter seats, and fascia miters.
Because the math depends only on the ratio of rise to run, you can enter any consistent units (inches, centimeters, etc.) and still get accurate pitch, slope, and angle outputs.
Pitch (in 12) = (Rise ÷ Run) × 12\nSlope % = (Rise ÷ Run) × 100\nAngle (degrees) = arctan(Rise ÷ Run) converted from radians to degrees
This roof pitch calculator converts rise and run into roof pitch (in 12), slope percentage, and angle in degrees so you can set framing layouts, saw bevels, and verify material slope requirements with confidence.
Enter rise and run in any consistent units to see the familiar pitch notation (like 4/12 or 8/12), the corresponding slope percentage, and the precise roof angle you can use on your tools and drawings.
Use it to verify existing roof slopes, translate between pitch and degrees when reading or producing drawings, and make sure your planned roof meets manufacturer and code slope guidelines before you order materials.
This roof pitch calculator is an aid for geometric layout and planning only. It does not provide structural design, rafter sizing, or code compliance guidance. Always confirm minimum and maximum slopes, framing details, and material requirements with local building codes, manufacturer specifications, and qualified design professionals before construction.