A 7.5/12 roof pitch is 32 degrees. It rises 7.5 inches for every 12 inches of horizontal run, which is a 62.5% slope and an area multiplier of 1.1792 — so a 2,000 square foot footprint at 7.5/12 is 2,358 square feet of roof.
A 7.5/12 roof pitch rises 7.5 inches for every 12 inches of horizontal run. That works out at 32 degrees, a slope of 62.5%, and an area multiplier of 1.1792 — so a flat footprint multiplied by 1.1792 gives the actual sloped roof surface you have to buy material for. Everything below is derived from that single ratio: the roof area at common house sizes, how many bundles of shingles it takes, whether the roof is walkable, and which coverings the code allows at this slope.
| Unit | Value | What it is |
|---|---|---|
| Pitch | 7.5/12 | Rises 7.5 inches over 12 inches of run |
| Angle | 32° | What a digital level or inclinometer reads |
| Slope | 62.5% | Rise divided by run — used in drainage work |
| Area multiplier | 1.1792 | Multiply the footprint by this for the real roof area |
| Rafter length per foot of run | 1.179 ft | Feet of rafter per foot of horizontal run |
All four describe the same slope. Pitch is what a lumber yard, a truss plant and a code table use; degrees is what an instrument reads; the multiplier is the one you order material against.
| Footprint | Roof area at 7.5/12 | Squares | Bundles at 10% waste | Bundles at 15% waste |
|---|---|---|---|---|
| 1,000 sq ft | 1,179 sq ft | 11.8 | 39 | 41 |
| 1,500 sq ft | 1,769 sq ft | 17.7 | 59 | 62 |
| 2,000 sq ft | 2,358 sq ft | 23.6 | 78 | 82 |
| 2,500 sq ft | 2,948 sq ft | 29.5 | 98 | 102 |
| 3,000 sq ft | 3,538 sq ft | 35.4 | 117 | 123 |
A 7.5/12 roof adds 17.9% to the footprint area. On a 2,000 square foot footprint that is 358 extra square feet of covering — 3.6 squares you would not have ordered from the ground measurement alone.
Getting steep. Roof jacks are the sensible minimum.
Standard asphalt shingle installation, with no low-slope underlayment requirement.
A 7.5/12 roof pitch is 32 degrees. Take the arctangent of 7.5 divided by 12. The same slope is 62.5% and has an area multiplier of 1.1792.
1.1792. Multiply the building footprint by 1.1792 to get the actual sloped roof area — a 2,000 square foot footprint at 7.5/12 is 2,358 square feet of roof.
Yes. 7.5/12 is above the 4/12 threshold, so standard shingle installation applies with no low-slope underlayment requirement.
With care and roof jacks. At 7.5/12 footing is poor enough that most people want staging rather than relying on grip.