Pitch & Plank

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Roof pitch calculator

Enter a rise and run, an angle, or a pitch. You get all three back, plus the pitch multiplier and the rafter length.

Measurements

What do you know?
in

How far the roof goes up

in

How far it goes across

Run to the ridge (optional)

Half the building width on a simple gable roof. Used for the rafter length.

Results

Pitch
6 in 12
Angle
26.57°
Slope
50%
Pitch multiplier
1.118
Roof type
Conventional
Rafter length, no overhang
13' 5"
Total rise
6' 0"
26.6°126

How to measure roof pitch

  1. From the attic. Hold a level flat so one end touches the underside of a rafter. Make a mark on the level 12 inches from that end. Measure straight up from the mark to the rafter. That number is the pitch, so 6 inches means a 6 in 12 roof.
  2. From the roof surface. Rest one end of the level on the shingles and hold it level. Measure straight down from the 12 inch mark to the roof.
  3. From the gable end. Measure the height from the top of the wall to the peak, and the distance from the outside wall to the point under the peak. Enter those as rise and run.

The formulas

Example: a roof rises 4 feet over a 12 foot run. Pitch = 4 ÷ 12 × 12 = 4 in 12. Angle = arctan(4 ÷ 12) = 18.43 degrees. The multiplier is 1.054, so the rafter is 12 × 1.054 = 12.65 feet, which is 12 ft 7 13/16 in before any overhang.

Roof pitch chart: pitch to degrees

PitchAngleSlopeMultiplier
1 in 124.76°8.3%1.003
2 in 129.46°16.7%1.014
3 in 1214.04°25.0%1.031
4 in 1218.43°33.3%1.054
5 in 1222.62°41.7%1.083
6 in 1226.57°50.0%1.118
7 in 1230.26°58.3%1.158
8 in 1233.69°66.7%1.202
9 in 1236.87°75.0%1.250
10 in 1239.81°83.3%1.302
11 in 1242.51°91.7%1.357
12 in 1245.00°100.0%1.414
13 in 1247.29°108.3%1.474
14 in 1249.40°116.7%1.537
15 in 1251.34°125.0%1.601
16 in 1253.13°133.3%1.667
17 in 1254.78°141.7%1.734
18 in 1256.31°150.0%1.803

The multiplier turns flat measurements into sloped ones. Multiply a horizontal run by it to get rafter length, or multiply a roof footprint by it to get roof area.

Low, conventional and steep roofs

Common questions

What is a 4/12 roof pitch in degrees?

A 4/12 pitch is 18.43 degrees. The roof rises 4 inches for every 12 inches of horizontal run.

What angle is a 6/12 roof pitch?

A 6/12 pitch is 26.57 degrees, and its pitch multiplier is 1.118.

Are pitch and slope the same thing?

In everyday use, yes. Both are written as inches of rise in 12 inches of run. Strictly speaking, slope is rise over run and pitch is rise over the full span, so an old carpentry book may call a 6 in 12 roof a 1/4 pitch.

What is the minimum pitch for asphalt shingles?

The International Residential Code sets the minimum at 2 in 12, and roofs below 4 in 12 need double underlayment. Check the shingle maker instructions and your local code too.

Can I walk on a 6/12 roof?

Many roofers treat roofs up to about 6 in 12 as walkable with care. From 7 in 12 up, footing gets poor and roof jacks or a harness are normal. Any roof is dangerous when wet. In the US, OSHA requires fall protection for residential construction work 6 feet or more above a lower level.

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