Roof Pitch Calculator – Degrees, Multiplier & Chart (All Pitches)

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Khan is the founder of — a free calculation platform covering residential construction, landscaping, health, fitness, and finance. All formulas are independently verified against authoritative sources including IRC 2021, AWC span tables, ASCE 7-22, USDA NRCS, FDA dietary guidelines, and US Army regulations. Khan holds a verified researcher identity (ORCID) and has published calculator methodology on Zenodo, the open-access repository operated by CERN and the European Commission.

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Roof Pitch Calculator – Degrees, Multiplier & Chart (All Pitches)
Construction Calculator

Roof Pitch Calculator: Degrees, Multiplier, Ridge Height & Chart

Convert any roof pitch to degrees, find the slope factor (multiplier), calculate ridge height, and determine actual roof area — with a complete pitch chart covering 1/12 through 12/12.

4/12 pitch = 18.43° · multiplier 1.054
6/12 pitch = 26.57° · multiplier 1.118
12/12 pitch = 45.00° · multiplier 1.414
Min: 2/12 shingles · 0.25/12 standing seam metal

A 4/12 roof pitch equals 18.43 degrees with a slope factor (multiplier) of 1.054. A 6/12 pitch equals 26.57 degrees with a multiplier of 1.118. A 12/12 pitch is exactly 45 degrees. This roof pitch calculator converts between all three formats instantly and covers every pitch from 1/12 to 12/12.

Roof pitch notation is simple: X/12 means the roof rises X inches for every 12 inches of horizontal run. 4/12, 4:12, and "4 in 12" all describe the identical slope. Below you'll find three calculator modes: Pitch Calculator (convert between pitch ratio, degrees, and slope %), Ridge Height (enter span and pitch to find ridge height), and Roof Area (enter footprint and pitch to find actual roof surface area).

Further down this page you'll find the complete pitch-to-degrees conversion table (1/12 through 12/12, all values verified) and a minimum pitch guide covering asphalt shingles, metal roofing, shed roofs, and snow-country recommendations. Use the calculator above or the complete pitch chart below.

Roof Pitch Calculator
Pitch ratio (X/12)
Degrees
Rise & Run (inches)
2/12
3/12
4/12
5/12
6/12
7/12
8/12
10/12
12/12

Pitch Ratio

6/12

This pitch rises 6 inches for every foot of horizontal run

Degrees
Slope %
Multiplier
Rafter / 12" run
20 ft
24 ft
28 ft
30 ft
32 ft
36 ft
40 ft
3/12
4/12
6/12
8/12
10/12
12/12

Ridge Height

6.00 ft

6 ft 0 in

(24 ÷ 2) × (6 ÷ 12) = 6.00 ft
Rafter run (half-span)
Rafter length
Total sq ft
Length × Width
Gable
Hip
Shed / Lean-to

Actual Roof Area

2,236 sq ft

Multiplier used: × 1.118

Roofing squares
Order (+10% waste)
Roof Pitch — Rise, Run & Rafter Relationship θ RUN (12") RISE (X") RAFTER LENGTH ANGLE (degrees) ROOF PITCH = RISE ÷ RUN Written as: 4/12 or 4:12 Means: rises 4 inches per 12 inches of horizontal run 4/12=18.43° · 6/12=26.57° · 12/12=45° 6/12 PITCH EXAMPLE Run=12" Rise=6" Rafter=√(6²+12²) =√180=13.4" Pitch angle gauge (0°–45°) 14° 18° 22° 27° 34° 45°

Roof pitch is always expressed as rise over run — the number of inches the roof rises per 12 inches of horizontal distance. The rafter length (hypotenuse) equals √(rise² + 12²) for any X/12 pitch.

Roof pitch chart — all pitches 1/12 to 12/12 in degrees, slope, and multiplier

4/12 = 18.43°  |  5/12 = 22.62°  |  6/12 = 26.57°  |  8/12 = 33.69°  |  12/12 = 45.00°

The table below converts every standard roof pitch from 1/12 to 12/12 into degrees, slope percentage, the multiplier (slope factor), and the rise per foot of run. This is the complete roof pitch chart for residential and light commercial roofing.

Pitch (X/12)DegreesSlope %MultiplierRise per foot of run
1/124.76°8.3%1.0031 inch
2/129.46°16.7%1.0142 inches
3/1214.04°25.0%1.0313 inches
4/12 COMMON18.43°33.3%1.0544 inches
5/1222.62°41.7%1.0835 inches
6/12 COMMON26.57°50.0%1.1186 inches
7/1230.26°58.3%1.1587 inches
8/1233.69°66.7%1.2028 inches
9/1236.87°75.0%1.2509 inches
10/1239.81°83.3%1.30210 inches
11/1242.51°91.7%1.35711 inches
12/1245.00°100.0%1.41412 inches

Degrees = atan(rise÷12) × (180÷π). Multiplier = √(rise² + 144) ÷ 12. All values verified: 4/12 → atan(4/12)×57.296=18.435° ✔, multiplier √160÷12=1.054 ✔. 6/12 → atan(6/12)×57.296=26.565° ✔, multiplier √180÷12=1.118 ✔. 12/12 → 45.000° exact ✔, multiplier √288÷12=1.414 ✔.

The slope factor (multiplier) tells you how much larger the actual roof surface is than the horizontal footprint. A 6/12 pitch has a multiplier of 1.118, meaning a house with a 2,000 sq ft footprint actually has 2,236 sq ft of roof surface (2,000 × 1.118). This matters when calculating roofing materials — always calculate shingles and underlayment from the actual roof area, not the footprint.

Pitch vs slope

Pitch and slope mean the same thing when describing residential roofs. Pitch is expressed as a ratio (4/12), slope as a percentage (33.3%), and the angle as degrees (18.43°). All three describe the same steepness.

Roof Pitch Comparison — 3/12 to 12/12 3/12 14° COMMON 4/12 18° MOST COMMON 6/12 27° 8/12 34° 10/12 40° 12/12 45°

Roof pitch dramatically affects the visual proportions of a house. A 3/12 pitch looks nearly flat; a 12/12 pitch looks like a steep A-frame. The most common residential pitches in the US are 4/12 and 6/12.

How to calculate roof pitch — three methods

Method 1 — Measuring on the roof surface

Use a spirit level (12 inches long) and a tape measure. Hold the level horizontally on the roof surface. Measure 12 inches along the level from the roof surface to the end of the level (this is your run = 12"). Now measure vertically from the roof surface up to the end of the level (this is your rise in inches). Your pitch is rise/12. A roof slope gauge tool (also called a pitch gauge or digital angle finder) makes this even faster — place it on the roof surface and read the angle directly.

Method 2 — Measuring from the attic

Stand in the attic. Hold a level against a rafter, horizontally. Measure 12 inches along the rafter from one end. Measure vertically from the 12-inch mark to the bottom of the rafter. This gives you the rise per 12 inches of run.

Method 3 — Calculating from known dimensions

If you know the ridge height and building span: pitch = (ridge height ÷ half-span) × 12. For a 24 ft wide building with a 6 ft ridge: pitch = (6 ÷ 12) × 12 = 6/12.

Once you have your rise measurement (X inches per 12 inches of run), enter it in the Pitch Calculator tab above to get the degrees, multiplier, and rafter length automatically.

Minimum Roof Pitch by Roofing Material Standing seam metal Membrane (TPO/EPDM) Corrugated metal Asphalt shingles Wood shake/shingle Clay/concrete tile 0.25:12 (1.2°) 0.25:12 (1.2°) 3:12 (14°) 2:12→4:12 3:12 (14°) 4:12 (18.4°) 0 1/12 2/12 3/12 4/12 5/12 6/12 9.5° — 2/12 low-slope threshold — 4/12 standard residential Minimum Recommended Minimum pitches per manufacturer specs and IRC guidelines. Always verify with your local building code and roofing manufacturer.

Minimum roof pitch requirements vary by roofing material. Standing seam metal can go nearly flat (0.25:12). Asphalt shingles require at least 2:12 with special underlayment, or 4:12 for standard installation. Always confirm minimums with your roofing manufacturer.

Minimum roof pitch by roofing material — and what pitch for snow

Minimum pitch for asphalt shingles: 2/12 (with double underlayment) — standard installation requires 4/12 or steeper.
Minimum pitch for metal roof (standing seam): 0.25/12 (essentially flat — designed for low slope).
Minimum pitch for metal roof (corrugated/exposed fastener): 3/12 recommended.
Minimum pitch for clay/concrete tile: 4/12.
Minimum pitch for wood shake: 3/12.
Minimum pitch for EPDM/membrane: 1/4:12 (flat roof category).

Roofing materialMinimum pitchNotes
Standing seam metal0.25:12 (1.2°)Low slope specialist
Membrane (TPO/EPDM)0.25:12 (1.2°)Flat roof product
Corrugated metal3:12 (14°)Exposed fastener panels
Asphalt shingles (special)2:12 (9.5°)Requires double underlay
Asphalt shingles (standard)4:12 (18.4°)Normal installation
Wood shake3:12 (14°)Higher recommended
Clay/concrete tile4:12 (18.4°)Verify with manufacturer
Slate4:12 (18.4°)More for heavy snow areas

Minimum pitch for metal roof (expanded)

Standing seam metal roofing is the best choice for low-slope applications — it can be installed at pitches as low as 0.25:12 (a quarter inch of rise per foot of run). Corrugated metal panels with exposed fasteners require a minimum of 3/12 to prevent water from backing up under the overlaps. If you're planning a metal roof at low slope, always use standing seam — not corrugated.

Roof pitch for snow

In regions with heavy snowfall (New England, Upper Midwest, Mountain West), the recommended minimum pitch is 6/12 or steeper. Steep pitches allow snow to slide off rather than accumulate — snow accumulation creates structural load that can cause roof failure. Metal roofing on steep pitches (6/12+) is particularly effective in snow country because snow slides freely. For flat or low-slope roofs in snow regions, structural engineering for snow load is required.

Common roof pitches by application — shed, porch, hip roof guide

Shed roof pitch

The minimum recommended pitch for a shed is 2/12 for drainage, with 3/12–5/12 being the most practical range for a standard storage shed. Use the calculator above: enter your desired pitch and shed width to find the exact ridge height. A lean-to shed (single slope attached to a building) typically uses 2/12–4/12 — enough to drain away from the main structure.

What pitch for a shed? For a standard 10 ft × 12 ft shed with a 4/12 pitch: ridge height = (10 ÷ 2) × (4 ÷ 12) = 5 × 0.333 = 1.67 ft (about 20 inches). Rafter length (per side) = 5 ft × 1.054 = 5.27 ft (5 ft 3 inches).

Porch roof pitch

Most porch roofs are designed to match or complement the main house pitch. A standalone porch roof typically uses 3/12–5/12. Porch roof pitch should be at least 2/12 to ensure water drains away from the house and porch. Very flat porch roofs (under 2/12) require special waterproofing products and careful drainage planning.

Hip roof calculator

A hip roof has four sloping sides that all meet at the ridge or at a point. The pitch is the same concept as a gable roof — rise per 12 inches of run. However, hip roofs have both a main ridge length and hip rafter lengths (the diagonal corner rafters) that require additional calculation. For basic hip roof pitch: enter your desired pitch in Mode A above to get the slope factor, then multiply your total footprint area by the multiplier to find the roof surface area.

Lean-to roof slope

A lean-to (mono-slope, shed) roof is the simplest roof form — a single slope in one direction. Minimum lean-to slope: 2/12 for drainage. Recommended: 3/12–5/12 to allow water and debris to clear without being excessively steep. For an attached lean-to, the pitch is often limited by the existing wall height of the main structure.

Ridge height calculator — how to calculate roof ridge height

Ridge height = (building span ÷ 2) × (pitch fraction). For a 24 ft wide building at 6/12 pitch: (24 ÷ 2) × (6 ÷ 12) = 12 × 0.5 = 6.0 ft.

Span3/12 pitch4/12 pitch6/12 pitch8/12 pitch12/12 pitch
20 ft2.5 ft3.3 ft5.0 ft6.7 ft10.0 ft
24 ft3.0 ft4.0 ft6.0 ft8.0 ft12.0 ft
28 ft3.5 ft4.7 ft7.0 ft9.3 ft14.0 ft
32 ft4.0 ft5.3 ft8.0 ft10.7 ft16.0 ft
36 ft4.5 ft6.0 ft9.0 ft12.0 ft18.0 ft
40 ft5.0 ft6.7 ft10.0 ft13.3 ft20.0 ft

Ridge = (span÷2) × (rise÷12). Spot checks: 24 ft/6/12: 12×0.5=6.0 ✔ | 32 ft/8/12: 16×0.667=10.67 ✔

Roof pitch calculator — frequently asked questions

What is a 4/12 roof pitch in degrees?

A 4/12 roof pitch equals 18.43 degrees. Calculated as atan(4÷12) × (180÷π) = 18.435°. This is one of the two most common residential roof pitches in the United States, along with 6/12.

What is a 6/12 roof pitch in degrees?

A 6/12 roof pitch equals 26.57 degrees. Calculated as atan(6÷12) × (180÷π) = 26.565°. This is the single most common residential roof pitch in the US, offering a good balance of drainage, attic space, and appearance.

What is the most common roof pitch?

4/12 and 6/12 are both extremely common in US residential construction, with 6/12 being slightly more prevalent. 6/12 (26.57°) offers strong water runoff and usable attic space, while 4/12 (18.43°) is popular for a lower-profile look and easier walkability.

How do I calculate roof pitch?

Measure the rise (vertical height) over a 12-inch horizontal run using a level and tape measure, then express it as rise/12. For example, if the roof rises 6 inches over 12 inches of run, the pitch is 6/12. Enter this value into the calculator above for degrees, slope %, and multiplier.

What is a roof pitch multiplier?

The multiplier (slope factor) is the number you multiply by the horizontal footprint area to get the actual sloped roof area. A 6/12 pitch has a multiplier of 1.118, meaning 11.8% more roof surface than the footprint — important for ordering the correct amount of roofing material.

What is the minimum roof pitch for asphalt shingles?

The minimum pitch for asphalt shingles is 2/12 with double underlayment. Standard shingle installation without special underlayment requires 4/12 or steeper. Below 2/12, shingles are not recommended due to water backup risk.

What is the minimum pitch for a metal roof?

Standing seam metal roofing can be installed at pitches as low as 0.25/12 (essentially flat), making it the best choice for low-slope applications. Corrugated metal with exposed fasteners requires a minimum of 3/12 to prevent water intrusion at the overlaps.

What pitch is recommended for a shed roof?

The minimum recommended pitch for a shed roof is 2/12 for basic drainage, with 3/12 to 5/12 being the most practical range for a standard storage shed. A lean-to shed attached to another structure typically uses 2/12 to 4/12.

What roof pitch is best for snow?

In heavy snow regions, a minimum pitch of 6/12 or steeper is recommended. Steeper pitches allow snow to slide off naturally rather than accumulate, reducing structural load risk. Metal roofing on 6/12+ pitches is especially effective because snow sheds freely.

What does 4/12 mean on a roof?

A 4/12 roof pitch means the roof rises 4 inches vertically for every 12 inches (1 foot) of horizontal distance (run). It is written as 4/12, 4:12, or "4 in 12" — all mean the same thing and equal 18.43 degrees.

How do I convert roof pitch to degrees?

Use the formula: degrees = atan(rise ÷ run) × (180 ÷ π). For a standard X/12 pitch, degrees = atan(X ÷ 12) × (180 ÷ π). Simply enter your pitch ratio into the calculator above to get the exact degree value instantly.

What is a 12/12 roof pitch in degrees?

A 12/12 roof pitch equals exactly 45.00 degrees. This is because rise and run are equal (12 inches each), forming a perfect 45-degree right triangle. It is one of the steepest common residential pitches, often used for A-frame style homes.

How do I calculate ridge height?

Ridge height = (building span ÷ 2) × (rise ÷ run). For a 24 ft wide building at a 6/12 pitch: (24 ÷ 2) × (6 ÷ 12) = 12 × 0.5 = 6.0 feet. Enter your span and pitch into the Ridge Height calculator tab above for instant results.

What is the difference between roof pitch and roof slope?

Pitch and slope describe the same steepness but in different formats. Pitch is expressed as a ratio (4/12), slope as a percentage (33.3%), and the angle in degrees (18.43°). All three describe an identical roof steepness — just different units.

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This page covers roof pitch to degrees for every standard pitch (1/12–12/12), the slope factor/multiplier table, three calculator modes (pitch conversion, ridge height, roof area), minimum pitch requirements by roofing material, shed and porch pitch guide, and snow-country pitch recommendations. Use the free Roof Pitch Calculator above — enter your rise and run for instant degrees, slope factor, ridge height, and roof area.

Quick Reference
3/1214.04°
4/1218.43°
5/1222.62°
6/1226.57°
8/1233.69°
10/1239.81°
12/1245.00°
Popular Pitches
4/12 pitch
6/12 pitch
12/12 pitch
Ridge height
Roof area

Sources & References

Roof pitch formulas, minimum pitch requirements, and slope factors are based on the following standards.

  • IRC 2021 — Chapter 8: Roof-Ceiling Construction. Minimum roof slope requirements by roofing material. codes.iccsafe.org
  • NRCA — National Roofing Contractors Association: Minimum slope guidelines by roofing material type: asphalt shingles 2:12 minimum, metal 0.25:12, tile 4:12. nrca.net
  • NAHB — National Association of Home Builders: Standard roof pitch for residential construction: 4:12 to 6:12 most common. nahb.org
  • ASCE 7-22 — Minimum Design Loads: Snow load and roof slope factors used in structural design. asce.org
  • Pitch-to-degrees formula: degrees = atan(rise ÷ run) × (180 ÷ π). Verified against NIST standard trigonometric definitions. nist.gov
📋 Formula sources & data references: IRC 2021 AWC DCA6 ASCE 7-22 ACI 318-19 DOI: 10.5281/zenodo.22735157 ✔ Verified