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Calculators and Calculations
Home›Calculators and Calculations›How to calculate pitch of roof

How to calculate pitch of roof

By Matthew Lynch
October 12, 2023
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Whether you’re a homeowner planning a new roofing project or a contractor working in construction, understanding how to calculate the pitch of a roof is an essential skill. The pitch of a roof is simply the slope or angle at which it is built, and knowing this value helps in determining the amount of materials needed and the proper techniques for installation. In this article, we’ll walk you through the process of calculating the pitch of a roof step by step.

1. Gather the necessary tools

To calculate the roof pitch, you’ll need a tape measure, a level, and a notepad or calculator for calculations. Make sure your tools are in good condition for accurate measurements.

2. Determine the rise of the roof

The rise of a roof refers to its vertical height change over a horizontal distance. To find this value, take your tape measure and measure from the peak of the roof down to where it meets an eave, or edge. This distance is referred to as the “rise.”

3. Measure the run

The run refers to half the distance between opposing eaves on any given portion of the roof. To find this measurement, extend your tape measure horizontally from one side of a gable-roof section to another side approximately at eve’s level. Record this measurement as “run.”

4. Calculating pitch

The pitch can be calculated by simply dividing the rise by run:

Pitch = Rise / Run

This ratio will give you what is called “pitch factor,” which represents how many inches of vertical elevation change occurs per each horizontal foot in length.

For example, if your measurements show that your rise is 6 inches and your run is 12 inches:

Pitch = 6 / 12 = 0.5

5. Expressing pitch as ratio

Another common method to describe roof pitch is through ratios expressed as “X-in-12”, where X is the number of inches of rise per 12 horizontal inches of run. To determine, simply multiply your pitch factor by 12:

Pitch Ratio = Pitch Factor × 12

In our previous example:

Pitch Ratio = 0.5 × 12 = 6-in-12

This means for every 12 inches of horizontal run, there is a vertical change of 6 inches.

6. Converting pitch to degree angles

For some applications, you may need to convert the computed pitch to an angle in degrees. To do this, use the following formula:

Degrees = atan(Pitch) × (180/π)

Using our example:

Degrees = atan(0.5) × (180/π) ≈ 26.6°

Conclusion

Calculating a roof’s pitch isn’t particularly challenging if you understand the steps involved and have the proper tools. By accurately determining your roof’s pitch, you can ensure that you’re selecting appropriate materials and utilizing proper installation techniques, ensuring a long-lasting roof for your home or building project.

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