Roof Pitch Calculator

Enter rise and horizontal run to find roof steepness as a pitch, angle, percentage, and multiplier.

Rise & Run

Bare numbers are inches. Explicit lengths such as 6 in, 1 ft, or 1'6" are accepted. Run is horizontal.

Pitch
6/12
Angle
26.6°
Slope %
50.0%
Multiplier
1.118

Multiply roof footprint by this number to get actual roof area

Rafter length per foot of run: 13.42 in

Per-foot length uses a 12 in horizontal run. Lengths exclude overhangs and cut allowances.

Convert Angle to Pitch

Pitch

Enter an angle from 0° up to, but not including, 90°. Examples: 22.5° ≈ 5/12, 26.6° ≈ 6/12, 45° = 12/12.

How to Calculate Roof Pitch

Roof pitch compares vertical rise with horizontal run. Start by dividing rise by run, using the same length unit for both measurements. To write the result in the familiar x/12 form, multiply that ratio by 12. The denominator describes a horizontal distance, not the length along a sloping board.

A twelve-inch reference makes different roofs easy to compare because it corresponds to one horizontal foot. You do not have to measure exactly twelve inches: a rise of 9 inches over an 18-inch run gives the same ratio as 6 inches over 12. The calculator normalizes either pair to 6/12.

For the standard example, 6 ÷ 12 = 0.5. Multiplying by 12 gives 6/12; taking the arctangent gives 26.6° when rounded. Multiplying the ratio by 100 gives 50.0% slope. These are three descriptions of the same steepness, not three different roof measurements.

Contractors often communicate roof slopes as ratios, angle gauges report degrees, and drainage drawings may use percentages. Keep the form and units beside every recorded value so that 50% is not mistaken for 50°. If you need room area instead, use the square footage calculator.

How to Measure Roof Pitch From the Ground

Work from stable ground and choose a safely reachable reference that follows the roof slope, such as an exposed rafter beneath a low eave. A horizontal soffit or gutter does not reveal the roof's angle. If the sloping reference is out of reach, use plans or arrange a professional measurement rather than climbing onto the roof.

For the level and tape method, mark twelve inches along a spirit level. Hold one end against the sloping reference and keep the level's bubble centered. At the twelve-inch mark, measure the vertical separation between the level and the reference. That height difference is the rise over a twelve-inch horizontal run. Keep the tape vertical and read the mark carefully; measuring diagonally produces the wrong ratio.

For the phone method, first calibrate a level or inclinometer app on a known horizontal surface. Rest the phone against a straight board aligned with an accessible sloping rafter. Read the angle from horizontal, then enter it in the angle converter below. Do not lean a board against a vertical wall and assume it matches the roof.

Repeat the reading at another accessible point on the same slope. Different roof sections may have different pitches, and a distant visual estimate is less reliable than direct measurements. Once you have the pitch, use the roof area calculator for the next step.

Roof Pitch Chart

Use this chart to compare common pitches without changing the dimensions of your measurement. Degrees describe the angle above horizontal; slope percentage expresses rise divided by run, times one hundred. The multiplier is a dimensionless geometric value. Each row comes from the same ratio, with degrees and percentages rounded to one decimal place and multipliers to three. Use unrounded values for intermediate calculations when precision matters.

Pitch ratios and equivalent readings
PitchDegreesSlope %Multiplier
1/124.8°8.3%1.003
2/129.5°16.7%1.014
3/1214.0°25.0%1.031
4/1218.4°33.3%1.054
5/1222.6°41.7%1.083
6/1226.6°50.0%1.118
7/1230.3°58.3%1.158
8/1233.7°66.7%1.202
9/1236.9°75.0%1.250
12/1245.0°100.0%1.414

Common Pitch Values: 4/12 and 6/12

A 4/12 roof rises four inches in each horizontal foot. Its angle is 18.4°, its slope is approximately 33% (33.3% to one decimal place), and its multiplier is 1.054. This relatively shallow residential pitch provides a downhill drainage path, but drainage performance still depends on the covering, details, and installation. It is not a promise that every roofing product will work.

A 6/12 roof rises six inches per horizontal foot. It corresponds to 26.6°, a 50.0% slope, and a 1.118 multiplier. This is a familiar moderate pitch on American houses and is visibly steeper than 4/12. Use the measured value for your particular roof rather than choosing a common pitch by appearance. Neither pitch determines the material requirements without checking the selected roofing system.

Minimum Roof Pitch by Material

A roofing material needs enough slope for its approved water-shedding or waterproofing system. Below the permitted minimum, water can linger or enter joints and cause leaks. The values below are starting references, not interchangeable approvals for every product or location. Check the adopted local requirements and the manufacturer's installation instructions.

Asphalt shingles commonly start at 2/12; from 2/12 to below 4/12, use the required double-layer underlayment or an approved specified alternative. Metal panels vary by seam and product, so the listed 1/12 applies only to a system rated for it. The 4/12 wood-shake value is a standard installation recommendation; special lower-slope assemblies need separate approval. A nominally flat membrane roof still needs designed drainage. Confirm the complete assembly, not just the visible covering.

Reference slopes; verify the particular system before installation
MaterialReference minimumConditions
Asphalt shingles2/12Below 4/12: double-layer underlayment or an approved specified alternative.
Metal panels1/12Only for a product rated for this slope; other panel systems differ.
Clay / concrete tile2.5/12Follow the required underlayment and fastening details.
Wood shakes4/12Standard recommended slope; special lower-slope assemblies require approval.
Flat / EPDM membrane1/4:12Design drainage at 1/4 inch per horizontal foot; not zero slope.

Sources: 2024 IRC roof assemblies, GAF low-slope shingle guidance, MBCI PBU panel specifications, and Cedar Shake & Shingle Bureau guidance.

Roof Pitch FAQ

How do you calculate roof pitch?

Divide vertical rise by horizontal run, then multiply by 12 to express the result as x/12. Use matching units for both measurements. A rise of 6 inches over a run of 12 inches gives 6/12, equivalent to 26.6° and 50.0% slope.

What is a 4/12 roof pitch in degrees?

A 4/12 roof pitch is approximately 18.4° above horizontal. It rises four inches over twelve inches of horizontal run. The same ratio is a 33.3% slope and has a multiplier of 1.054 when rounded to three decimal places.

What is a 6/12 roof pitch in degrees?

A 6/12 roof pitch is approximately 26.6°. It represents six inches of vertical rise over twelve inches of horizontal run. That is a 50.0% slope, with a multiplier of 1.118 and a slope length of 13.42 inches per horizontal foot.

What pitch is a 22.5 degree roof?

A 22.5° angle corresponds to approximately 4.97/12, usually described as about 5/12. The exact 5/12 ratio has an angle of 22.6° when rounded to one decimal place, so the two values are close but not identical.

How do I measure roof pitch without climbing on the roof?

From stable ground, use a safely reachable exposed rafter that follows the roof slope. Measure vertical rise over a level twelve-inch run, or use a calibrated phone inclinometer against an aligned straight board. If the reference is inaccessible, use plans or professional measurements.

What is the minimum pitch for a shingle roof?

For asphalt shingles, the usual minimum is 2/12. From 2/12 to below 4/12, double-layer underlayment or an approved specified alternative is required. Follow the particular product's instructions and applicable local requirements; the slope alone does not establish a complete installation specification.

What is the roof pitch multiplier for 6/12?

The multiplier for a 6/12 pitch is 1.118, rounded to three decimal places. It comes from the square root of one plus the squared rise-to-run ratio: √(1 + 0.5²). It is dimensionless and describes the geometry of that slope.

What is the golden rule for roof pitch?

There is no single universal pitch that suits every roof. A useful measurement rule is to compare vertical rise with horizontal run in matching units, then normalize to twelve. For choosing materials, follow the product's permitted slope and the applicable installation requirements.