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Roof Pitch Calculator

Roof pitch is the steepness of a roof expressed as the vertical rise for a given horizontal run - traditionally measured over a 12 inch span. This calculator converts a rise and run measurement into the three numbers roofers actually use: the pitch ratio (for example 4:12), the slope as a percentage, and the angle in degrees.

Adjust the rise and run to match a tape-measure reading from a ladder, a dimension from a set of plans, or an angle you measured from a photo with the protractor tool. Every result updates instantly as you type.

Everything runs in your browser. Nothing you enter is uploaded anywhere.

Pitch angle — °
Slope — %
Pitch ratio (rise : 12 of run) —
Rafter factor (length ÷ run) — ×

pitch angle = arctan(rise / run) × 180 / π · slope % = rise / run × 100

The rafter factor is the hypotenuse √(rise² + run²) divided by the run - multiply it by your total horizontal run to estimate rafter length.

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Worked examples

A 4/12 roof (the most common residential pitch)

Rise 4 in, run 12 in

18.43° · 33.33% slope · 4:12 · rafter factor 1.054×

A 6/12 roof

Rise 6 in, run 12 in

26.57° · 50% slope · 6:12 · rafter factor 1.118×

A 12/12 roof (a 45° pitch)

Rise 12 in, run 12 in

45° · 100% slope · 12:12 · rafter factor 1.414×

Metric plans: 200 mm of rise over 600 mm of run

Rise 200 mm, run 600 mm

18.43° · 33.33% slope · 4:12

How to measure roof pitch (and where this calculator helps)

The traditional way to find roof pitch is to hold a level and a tape measure against the roof surface: measure 12 inches horizontally along the level, then measure the vertical distance from the level up to the roof. That vertical number is the rise over a 12 inch run, written as "4 in 12" or simply "4/12". If you are working from framing plans, look for the rafter detail - it usually states the pitch directly.

You can also work backwards from an angle. If you have measured a slope with a protractor - for instance by overlaying the digital protractor on a photograph of a roofline - enter the rise and run that correspond to that angle, or use the slope percentage to degrees converter for a direct angle-to-grade conversion. Combining an angle measurement with a known run gives you the same result as measuring on the roof itself.

Pitch matters for more than aesthetics. Low-slope roofs (below about 2:12) require membrane roofing because water does not shed quickly, while steep roofs shed snow and rain easily but expose more surface area to wind. Most asphalt shingle manufacturers require a minimum of 4:12, and some materials such as standing-seam metal can go as low as 1:12 with the right underlayment. Always confirm the minimum slope with the material manufacturer before ordering.

Pitch also affects framing. The rafter factor in the results is the hypotenuse of the rise/run triangle divided by the run - multiply it by your total horizontal run to estimate rafter length, then add for the overhang. A roof that goes from 4:12 to 8:12 roughly doubles the roof surface area for the same floor plan, which is why truss quotes jump with steeper pitches.

Common pitch reference: 3/12 and 4/12 are typical for ranch and bungalow homes, 6/12 to 8/12 for two-storey suburban houses, and 10/12 to 12/12 for Victorian or alpine-style homes where snow sheds quickly. When in doubt, measure twice - a one-inch rise error over a 12 inch run changes the angle by about 4 degrees.

Want to measure an angle instead of calculating one? Open the on-screen angle finder and protractor - it measures angles on screen, over an uploaded photo or through your camera, with no upload.

Roof pitch FAQ

What is a 4/12 roof pitch in degrees?
A 4/12 roof pitch rises 4 inches for every 12 inches of horizontal run, which is an angle of 18.43° and a slope of 33.3%.
How do I calculate roof pitch from rise and run?
Divide the rise by the run, take the arctangent of the result and multiply by 180/π to get degrees. For a slope percentage, divide rise by run and multiply by 100.
What is considered a low-slope or steep roof?
Below 2:12 is low slope and usually needs a continuous membrane. From 2:12 to about 4:12 is moderate, and anything above roughly 9:12 is considered steep.
Can I measure roof pitch from a photo?
Yes, if the photo is taken square-on rather than at an angle. Overlay the protractor on the roofline, read the angle, then convert it to a pitch ratio here. Photos taken from the side will not give a true pitch.

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