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BuildMath

Roof Pitch Calculator · Free calculator

Roof Pitch Calculator

Enter the rise and run you measured (or pick a common pitch) to get the angle, slope factor and grade. The full chart below covers 1/12 through 12/12.

Quick answer

4/12
18.4°
6/12
26.6°
8/12
33.7°
12/12
45°

▍Roof Pitch Calculator

in
in
Common pitches (per 12")
Roof pitch
6/12
26.6° · 50.0% grade
RUN 12"RISE 6"26.6°
Angle
26.57°
Slope factor
1.118
Grade
50.0%
Rafter / ft run
13.42in

Roof pitch chart

PitchAngleSlope factorGradeClass
1/124.76°1.0038.3%flat / low-slope
2/129.46°1.01416.7%low-slope
3/1214.04°1.03125.0%low-slope
4/1218.43°1.05433.3%conventional
5/1222.62°1.08341.7%conventional
6/1226.57°1.11850.0%conventional
7/1230.26°1.15858.3%conventional
8/1233.69°1.20266.7%conventional
9/1236.87°1.25075.0%steep
10/1239.81°1.30283.3%steep
11/1242.51°1.35791.7%steep
12/1245.00°1.414100.0%steep

How the math works

  1. Pitch = rise per 12" of run.
  2. Angle = arctan(rise ÷ 12).
  3. Slope factor = √(12² + rise²) ÷ 12.
  4. Rafter length = run × slope factor.

Trade pro tips

  • Measure pitch with a level and tape: hold the level 12" level from the roof surface and measure the vertical gap.
  • Pitch apps on phones are close, but a 2-ft level is more reliable on rough shingles.

Frequently asked questions

How do I calculate roof pitch?

Measure the rise over a 12" level run. A 6" rise over 12" is a 6/12 pitch. Or divide total rise by run and multiply by 12.

What is the most common roof pitch?

Between 4/12 and 9/12; 6/12 (26.57°) is the most common on US homes.

What is the minimum pitch for shingles?

2/12 with double underlayment; 4/12 and up with standard underlayment (IRC R905.2.2).

How do I convert roof pitch to degrees?

Degrees = arctan(rise ÷ 12). 4/12 = 18.43°, 6/12 = 26.57°, 8/12 = 33.69°, 12/12 = 45°.