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, in the same unit

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" (4.09 m)
Total rise
6' 0" (1.83 m)
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.
  4. With a speed square. Hold the square against the side of a rafter or the sloped trim at the gable end, with the pivot corner touching the bottom edge of the board. Rest a small level on the lipped edge of the square and swing the square until the bubble is centered. Read the scale where the bottom edge of the board crosses it. The scale marked Common gives the pitch, and the degree scale gives the angle.

Rise and run can be in any unit, as long as both use the same one. Centimeters and millimeters work the same as inches.

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
1/4 in 121.19°2.1%1.000
1/2 in 122.39°4.2%1.001
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
20 in 1259.04°166.7%1.944
24 in 1263.43°200.0%2.236

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

How pitch changes the size and cost of a roof

A steeper roof has more surface over the same house, so it takes more shingles, underlayment and labor. This is how much surface each pitch adds compared with a flat roof.

PitchExtra roof surface
4 in 125.4%
6 in 1211.8%
8 in 1220.2%
10 in 1230.2%
12 in 1241.4%

Roofers also tend to charge more per square on steep roofs, because the work is slower and needs more safety gear.

Roofs with more than one pitch

A gambrel roof, the classic barn shape, has two slopes on each side: a steep lower one and a shallow upper one. A mansard roof does the same on all four sides. Dormers and additions often have their own pitch too. Measure each slope separately and run the calculator once for each. A hip roof usually has the same pitch on every side.

Common roof pitches

Each of these pages has the angle, rafter lengths by building width, roof area and which roofing is allowed at that pitch.

1/122/123/124/125/126/127/128/129/1210/1211/1212/12

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?

As a rule of thumb, 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 workers doing residential construction 6 feet or more above a lower level.

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Sources

Facts on this page were last checked against these sources in October 2026.

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