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Roof Pitch Calculator

Convert between rise/run, x/12 pitch, angle and percent — and get the multiplier for roof area and rafters.

Updated 2026-10-20 · Based on: roof-pitch geometry and 3 shingle bundles per square.

How to use the Roof Pitch Calculator

  1. Measure the rise over 12 in of run with a level and tape, or enter a known angle or pitch.
  2. Read the pitch (x/12), angle and percent.
  3. Multiply the flat footprint by the pitch multiplier to get the real roof area.

Formula

Pitch = rise per 12 in of run. Angle = arctan(rise ÷ run). Multiplier = √(1 + (pitch ÷ 12)²).

A 6/12 roof is 26.57° with a multiplier of 1.12.

Worked example

With the values preset in the calculator above: (Rise & run)

Riser height
6 in
Tread depth
12 in
Pitch
6/12 (6:12)
Angle
26.57°
Slope
50%
Pitch multiplier
1.12

How to measure roof pitch

Hold a 12 in level horizontally against a rafter or the roof surface, with one end touching. Measure straight up from the other end of the level to the roof: that number of inches is the pitch — 6 in means a 6/12 roof. From the ground you can also measure the rise and the half-span of a gable and divide.

Roof pitch chart

Roof pitchAngleSlopePitch multiplier
14.76°8.33%1
29.46°16.67%1.01
314.04°25%1.03
418.43°33.33%1.05
522.62°41.67%1.08
626.57°50%1.12
730.26°58.33%1.16
833.69°66.67%1.2
936.87°75%1.25
1039.81°83.33%1.3
1245°100%1.41

Related guides

Frequently asked questions

What is the most common roof pitch?

Between 4/12 and 9/12 on houses; 6/12 is very common. Below 2/12 counts as a low-slope roof and needs membrane roofing instead of shingles.

How many degrees is a 4/12 pitch?

18.43°.

What is the minimum pitch for shingles?

2/12 with a double underlayment; 4/12 and steeper with standard underlayment.

More calculators

All construction calculators →

Estimates only — check quantities with your supplier and local building code before you order.