Roof pitch chart

21/12 Roof Pitch

21 inches of rise per 12 inches of run: 60.3°, a steep roof.

122160.3°
Angle
60.26°
Slope
175%
Rafter factor
2.0156
Type
Steep

What a 21/12 pitch means

A 21/12 roof rises 21 inches for every 12 inches it runs horizontally, which is an angle of 60.26° from level and a 175% slope. It is a steep roof, too steep to walk safely without roof jacks or a harness.

Roofing for a 21/12 roof

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.

Rise and rafter length at 21/12

For a gable roof, the run is half the building width. Rafter lengths are before the ridge deduction and overhang.

RunBuilding widthRiseRafter length
4 ft8 ft7'8' 3/4"
6 ft12 ft10' 6"12' 1 1/8"
8 ft16 ft14'16' 1 1/2"
10 ft20 ft17' 6"20' 1 7/8"
12 ft24 ft21'24' 2 1/4"
14 ft28 ft24' 6"28' 2 5/8"
16 ft32 ft28'32' 3"
20 ft40 ft35'40' 3 3/4"

Roof area at 21/12

Multiply the building footprint (including the overhangs) by 2.016 to get the roof surface. A 30 × 40 ft footprint has 2419 sq ft of roof at 21/12 — about 76 sheets of 4 × 8 sheathing before waste.

← 20/12 roof pitch22/12 roof pitch →

Frequently asked questions

What angle is a 21/12 roof pitch?

60.26°. The angle is arctan(21 ÷ 12).

What is a 21/12 pitch as a percentage?

175% — 21 inches of rise for every 12 inches (175 per 100) of run.

How much does a 21/12 roof rise?

21" for every foot of run. Over 12 ft of run — half of a 24 ft wide building — it rises 21'.

What is the rafter factor for a 21/12 pitch?

2.0156. Multiply the horizontal run by it for the rafter length: 12 ft of run takes a 24' 2 1/4" rafter, before the overhang.

What roofing can go on a 21/12 roof?

Suits shingles, metal, slate and tile. Steep enough that roofers need roof jacks or harnesses, which adds to labour cost.