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Roof pitch chart (printable)

Every common roof pitch with its angle and rafter factors on one page. A 6/12 roof is 26.57° (50.0% slope): each foot of run takes 13 7/16" of common rafter and 18" of hip or valley rafter. Multiply area by the slope factor to get roof area.

Pitch	Angle (plumb cut)	Percent slope	Seat angle	Slope factor	Common rafter / ft run	Hip-valley / ft run
1/12	4.76°	8.3%	85.24°	1.003	12 1/16"	17"
2/12	9.46°	16.7%	80.54°	1.014	12 3/16"	17 1/16"
3/12	14.04°	25.0%	75.96°	1.031	12 3/8"	17 1/4"
4/12	18.43°	33.3%	71.57°	1.054	12 5/8"	17 7/16"
5/12	22.62°	41.7%	67.38°	1.083	13"	17 11/16"
6/12	26.57°	50.0%	63.43°	1.118	13 7/16"	18"
7/12	30.26°	58.3%	59.74°	1.158	13 7/8"	18 3/8"
8/12	33.69°	66.7%	56.31°	1.202	14 7/16"	18 3/4"
9/12	36.87°	75.0%	53.13°	1.250	15"	19 3/16"
10/12	39.81°	83.3%	50.19°	1.302	15 5/8"	19 11/16"
11/12	42.51°	91.7%	47.49°	1.357	16 1/4"	20 1/4"
12/12	45.00°	100.0%	45.00°	1.414	17"	20 13/16"
14/12	49.40°	116.7%	40.60°	1.537	18 7/16"	22"
16/12	53.13°	133.3%	36.87°	1.667	20"	23 5/16"
18/12	56.31°	150.0%	33.69°	1.803	21 5/8"	24 3/4"

Pitch & angles

Precision

Enter any one

Pitch (rise in 12)

6 or 6/12

…or angle (°)

…or rise

and run

Angle (plumb cut)—

Pitch—

Percent slope—

Seat (level) angle—

Common rafter per ft of run—

Hip / valley per ft of run—

Pitch chart — angle and rafter length per foot of level run.

Pitch	Angle	Common / ft	Hip-val / ft

⚠ Check all math and verify with a licensed engineer and your local building department before cutting or building. Results are estimates.

Reading the chart

Pitch is inches of rise per 12" of run. The angle is what you set a speed square or saw to for the plumb cut; the seat angle is the level cut. The slope factor (√(1 + (pitch/12)²)) turns plan area into roof area and run into rafter length: rafter length = run × slope factor, before the ridge and overhang adjustments.

Hips and valleys run diagonally at 17" of run per 12" of common run, so their factor is √(2 + (pitch/12)²) per foot of common run. Need a pitch that isn't on the chart, or a pitch from a measured rise and run? Use the calculator above.

FAQ

What angle is a 4/12 roof pitch?

18.43°, a 33.3% slope. Its slope factor is 1.054.

What angle is a 12/12 roof pitch?

45°, a 100% slope: it rises a foot for every foot of run. Each foot of run takes 17" of common rafter.

More printable charts

Disclaimer: Results are estimates for planning and layout only. Check all math yourself and verify with a licensed engineer and your local building department before cutting or building. FramersMath is not a substitute for engineered plans, span tables or code review. See the full disclaimer.

Roof pitch chart (printable)

Pitch & angles

Reading the chart

FAQ

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