A 12/12 roof pitch is 45 degrees. It rises 12 inches for every 12 inches of horizontal run, which is a 100% slope and an area multiplier of 1.4142 — so a 2,000 square foot footprint at 12/12 is 2,828 square feet of roof.
A 12/12 roof pitch rises 12 inches for every 12 inches of horizontal run. That works out at 45 degrees, a slope of 100%, and an area multiplier of 1.4142 — so a flat footprint multiplied by 1.4142 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 | 12/12 | Rises 12 inches over 12 inches of run |
| Angle | 45° | What a digital level or inclinometer reads |
| Slope | 100% | Rise divided by run — used in drainage work |
| Area multiplier | 1.4142 | Multiply the footprint by this for the real roof area |
| Rafter length per foot of run | 1.414 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 12/12 | Squares | Bundles at 10% waste | Bundles at 15% waste |
|---|---|---|---|---|
| 1,000 sq ft | 1,414 sq ft | 14.1 | 47 | 49 |
| 1,500 sq ft | 2,121 sq ft | 21.2 | 71 | 74 |
| 2,000 sq ft | 2,828 sq ft | 28.3 | 94 | 98 |
| 2,500 sq ft | 3,536 sq ft | 35.4 | 117 | 123 |
| 3,000 sq ft | 4,243 sq ft | 42.4 | 141 | 147 |
A 12/12 roof adds 41.4% to the footprint area. On a 2,000 square foot footprint that is 828 extra square feet of covering — 8.3 squares you would not have ordered from the ground measurement alone.
Roof jacks or staging required — not casually walkable.
Standard asphalt shingle installation, with no low-slope underlayment requirement.
A 12/12 roof pitch is 45 degrees. Take the arctangent of 12 divided by 12. The same slope is 100% and has an area multiplier of 1.4142.
1.4142. Multiply the building footprint by 1.4142 to get the actual sloped roof area — a 2,000 square foot footprint at 12/12 is 2,828 square feet of roof.
Yes. 12/12 is above the 4/12 threshold, so standard shingle installation applies with no low-slope underlayment requirement.
Not casually. At 12/12 you need roof jacks or staging and proper fall protection — the angle is 45 degrees.