Example: 6 inches of rise over 12 inches of run
- 1
Convert the ratio to X:12 pitch
Divide 6 by 12 to get 0.5, then multiply by 12. The result is a 6:12 pitch. Pitch is a ratio, so 50 centimeters of rise over 100 centimeters of horizontal run gives the same answer.
- 2
Read the angle and slope percentage
6:12 pitch is not 30 degrees. The angle is arctan(6 divided by 12), or 26.57 degrees above horizontal. The slope percentage is (6 divided by 12) times 100, or 50%. All three describe the same incline.
- 3
Use the derived values for rough geometry
The area multiplier is 1.118. For a roof plane with 600 square feet of horizontal plan area, 600 × 1.118 ≈ 671 square feet of sloped surface. Overhangs, openings, and waste are not included. The 6 by 12 triangle has a slope length of 13.42 inches, which describes this triangle, not a framing-ready rafter.