Roof Pitch Explained: What 6/12 Means and How It Changes Your Shingle Count

What a roof pitch such as 6/12 means, how to measure it from the attic or from the end of the house, and how the pitch turns a roof footprint into a real roof area, with diagrams and a table.

Written and last reviewed November 4, 2026 by Kevin.

Shingle quantities are not based on the size of the house; they are based on the size of the roof, and a roof is always bigger than the footprint under it. The pitch is what tells you how much bigger. This guide explains what a pitch like 6/12 means, how to find yours without climbing up, and how it changes the number of bundles you buy.

What "6/12" means

Roof pitch is written as two numbers: how many inches the roof rises for every 12 inches it runs horizontally. A 6/12 roof climbs 6 inches for every 12 inches of horizontal distance. The 12 is always the same; only the first number changes.

A 6/12 roof pitch drawn as a triangle A right triangle with a horizontal run of 12 inches and a vertical rise of 6 inches. The sloped side is about 13.4 inches long and the angle at the bottom is about 26.6 degrees. run = 12 in rise = 6 in slope = 13.4 in 26.6° 6/12
The slope is longer than the run, and that extra length is the extra roof.

Why the pitch changes your shingle count

The footprint is what you see on a plan: length times width. The roof surface is longer because it climbs. Pythagoras gives the factor that converts one to the other:

slope factor = √(1 + (rise ÷ 12)²) roof area = footprint × slope factor

For 6/12 the factor is √(1 + 0.5²) = 1.118, so each square foot of footprint becomes about 1.12 square feet of roof.

PitchAngleSlope factorRoof area for a 1,000 sq ft footprint
2/12 9.5° 1.014 1,014 sq ft
3/12 14° 1.031 1,031 sq ft
4/12 18.4° 1.054 1,054 sq ft
5/12 22.6° 1.083 1,083 sq ft
6/12 26.6° 1.118 1,118 sq ft
7/12 30.3° 1.158 1,158 sq ft
8/12 33.7° 1.202 1,202 sq ft
9/12 36.9° 1.25 1,250 sq ft
10/12 39.8° 1.302 1,302 sq ft
12/12 45° 1.414 1,414 sq ft

How to find your pitch

From the attic

Hold a level horizontally with one end touching the underside of a rafter. At 12 inches along the level, measure straight up to the rafter. That distance in inches is the first number of the pitch. If it is 6 inches, the roof is 6/12.

From the end of the house, without climbing

Look at the triangle at the gable end. The rise is the height of the ridge above the line of the eaves, and the run is half the width of the house. Then pitch = rise ÷ run × 12.

Finding the pitch from the end of the house The end wall of a house is 30 feet wide and the ridge is 7.5 feet above the eaves. Half the width is 15 feet, so the pitch is 7.5 divided by 15 times 12, which is 6, or 6/12. rise = 7.5 ft run = 15 ft house width = 30 ft pitch = 7.5 ÷ 15 × 12 = 6/12
A tape measure on the ground and a photo of the end wall are enough to estimate the rise and run.

Do not climb a steep, wet or damaged roof to measure it. The attic and the ground methods above give you the pitch safely.

Worked example: a 40 × 30 ft roof at 6/12

The footprint is 40 × 30 = 1,200 sq ft, including the overhangs. At 6/12 the roof area is 1,200 × 1.118 = 1,341.6 sq ft, which is 13.42 roofing squares (one square is 100 sq ft of roof).

With 10 % extra for cuts and waste that is 14.76 squares. If the shingles come 3 bundles to the square, you need 45 bundles. Had you used the footprint alone, with no pitch, you would have ordered about 40 bundles, 5 too few.

Common mistakes

Frequently asked questions

Is a bigger first number a steeper roof?

Yes. 8/12 is steeper than 4/12. The angle for each common pitch is in the table above.

How many bundles are in a square?

It depends on the shingle, so read the package. The Roofing Shingle Calculator lets you choose 3, 4 or 5.

Can I use this for a flat roof?

A flat roof has a pitch of 0, so the slope factor is 1 and the roof area equals the footprint. Flat roofs usually use different materials, so these shingle numbers may not apply.

Sources

See our editorial policy for how guides are written, reviewed and corrected.

Calculators for this guide

More guides