Free roofing calculator

Roof pitch to degrees calculator

To convert roof pitch to degrees, take the arctangent of the rise divided by 12. A 4/12 pitch is 18.43 degrees, 6/12 is 26.57 and 12/12 is 45. Enter any pitch below, or switch to go from degrees back to pitch.

/ 12

A 6/12 roof rises 6 inches for every 12 inches it runs. Enter 6.

Formula: degrees = arctan(rise / 12). Pitch from degrees = 12 x tan(angle).

Standard asphalt shingle slope: one layer of underlayment under the IRC.

6/12 pitch in degrees

26.57degrees

Angle
26.57 degrees
Pitch
6.00 / 12
Slope factor (area multiplier)
1.118
Hip and valley factor
1.500
Percent grade
50.0%
Rafter length per foot of run
13.42 in
OSHA roof class
Steep (over 4/12)

Chart

Roof pitch to degrees chart

Every pitch from 1/12 to 24/12, with the multipliers for roof area and for hip and valley length.

Roof pitch to degrees chart, 1/12 to 24/12
PitchDegreesSlope factorHip / valley factorGrade
1/124.761.0031.4178.3%
2/129.461.0141.42416.7%
3/1214.041.0311.43625.0%
4/1218.431.0541.45333.3%
5/1222.621.0831.47441.7%
6/1226.571.1181.50050.0%
7/1230.261.1581.53058.3%
8/1233.691.2021.56366.7%
9/1236.871.2501.60175.0%
10/1239.811.3021.64183.3%
11/1242.511.3571.68591.7%
12/1245.001.4141.732100.0%
13/1247.291.4741.781108.3%
14/1249.401.5371.833116.7%
15/1251.341.6011.887125.0%
16/1253.131.6671.944133.3%
17/1254.781.7342.002141.7%
18/1256.311.8032.062150.0%
19/1257.721.8732.123158.3%
20/1259.041.9442.186166.7%
21/1260.262.0162.250175.0%
22/1261.392.0882.315183.3%
23/1262.452.1622.382191.7%
24/1263.432.2362.449200.0%

How it works

Measuring pitch and using the numbers

Measuring pitch on the roof. Hold a level flat against the roof, mark 12 inches along it, and measure straight down from that mark to the roof surface. The inches you read are the rise, so 7 inches means a 7/12 pitch. From the attic, do the same against the underside of a rafter.

Measuring the angle instead. A phone level or an angle finder on the roof gives degrees. Switch the calculator to degrees and it returns the pitch, plus the nearest whole pitch you would write on an estimate.

Slope factor. Multiply the flat footprint (or the flat run of a rafter) by the slope factor to get the true sloped area or length. This is how a measured footprint becomes roofing squares.

Hip and valley factor. For two roof planes of the same pitch meeting at a square corner, multiply the common rafter run by this factor to get the length of the hip or valley. At 6/12 it is 1.5, so a 14 foot run gives a 21 foot hip.

Questions

What roofers ask about this

How many degrees is a 4/12 roof pitch?
A 4/12 pitch is 18.43 degrees. It rises 4 inches for every 12 inches of run, and arctan(4 / 12) is 18.43 degrees.
What is a 6/12 pitch in degrees?
26.57 degrees. Its slope factor is 1.118, so every square foot of flat footprint becomes 1.118 square feet of roof.
What roof pitch is 45 degrees?
12/12. The roof rises 12 inches for every 12 inches of run, so the rise and the run are equal and the angle is 45 degrees.
What is the slope factor used for?
It turns a flat measurement into a sloped one. Multiply the footprint area by the slope factor to get the roof area: a 2,000 square foot footprint at 6/12 is 2,000 x 1.118 = 2,236 square feet, or 22.4 squares before waste.
Is a roof over 4/12 a steep roof?
For fall protection, yes. OSHA 29 CFR 1926.500(b) calls a roof with a slope of 4 in 12 or less a low-slope roof and anything over 4 in 12 a steep roof, and the fall protection rules differ between the two.
What is the lowest pitch for asphalt shingles?
2/12 under the IRC (section R905.2.2). From 2/12 up to 4/12 the code asks for two layers of underlayment. Below 2/12, use a low-slope membrane instead.

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