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10/12 pitch roof: multiplier, angle and cost

What a 10/12 pitch means for roof area, safe working and price, worked through for a 2,000 sq ft footprint.

10/12 · 2,000 sq ft · asphalt

$13,000 – $24,000

× 1.302 area · 39.8° · installed, incl. tear-off of one layer and a permit

Change the numbers in the roof cost calculator

The working

  1. 1. Pitch multiplier√(1 + (10 ÷ 12)²)× 1.302
  2. 2. Roof anglearctan(10 ÷ 12)39.8°
  3. 3. Roof surface2,000 sq ft footprint × 1.302 (10/12 pitch multiplier)2,603 sq ft
  4. 4. Squares to order2,603 ÷ 100 = 26.0 squares, + 10% waste (gable roof)28.6 squares
  5. 5. Installed2,603 sq ft × $4–$6 per sq ft (architectural asphalt shingles, HomeGuide, Nov 7, 2025)$10,414 – $15,620
  6. 6. Tear-off2,603 sq ft × $1–$3 per sq ft to remove one layer (HomeGuide)$2,603 – $7,810
  7. 7. PermitFlat fee, set locally (HomeGuide, Fixr)$100 – $500
  8. 8. Installed totalSum, rounded to $100 under $10,000 and $500 above$13,000 – $24,000

Prices are published national installed ranges (mostly HomeGuide, updated Nov 7, 2025), the same ones the roof cost calculator uses, for a straightforward re-roof with one old layer torn off. They are not adjusted for your state; the calculator can do that. Decking repairs, access, steep or cut-up roofs and the contractor all move the final price, so get at least two written quotes.

Squares and the materials list come from the same math as the roof calculator, which works them out for your own measurements.

10/12 roof by footprint

FootprintRoof surfaceSquaresAsphalt shinglesStanding-seam metal
1,000 sq ft1,302 sq ft13.0$6,600 – $12,000$13,000 – $25,000
1,500 sq ft1,953 sq ft19.5$9,900 – $18,000$19,500 – $37,500
2,000 sq ft2,603 sq ft26.0$13,000 – $24,000$26,000 – $50,000
2,500 sq ft3,254 sq ft32.5$16,500 – $30,000$32,500 – $62,500
3,000 sq ft3,905 sq ft39.1$19,500 – $35,500$39,000 – $74,500

Compared with nearby pitches (2,000 sq ft footprint)

PitchAngleArea multiplierWalking itAsphalt shingles
8/1233.7°× 1.202Steep$12,000 – $22,000
9/1236.9°× 1.250Steep$12,500 – $23,000
10/1239.8°× 1.302Very steep$13,000 – $24,000
11/1242.5°× 1.357Very steep$13,500 – $25,000
12/1245.0°× 1.414Very steep$14,000 – $26,000

From about 7/12 or 8/12 most crews use roof jacks and harnesses, and many contractors add a steep-roof charge that published per-square-foot ranges do not show.

Did hail hit your area? Insurance often covers hail damage. Check hail history for your city, with storm reports back to 1955.

Questions people ask

What is the multiplier for a 10/12 roof?

1.302. Multiply the footprint by it to get the sloped roof area: 2,000 sq ft of footprint is 2,603 sq ft of roof.

What angle is a 10/12 pitch?

39.8 degrees. It rises 10 inches for every 12 inches across.

Is a 10/12 roof walkable?

Very steep: do not walk it. Staging and fall arrest only. Work is done from roof jacks, staging or lifts with personal fall arrest.

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