Planning a roofing project involves a lot of measurements and calculations. Ensuring accuracy is crucial to avoid material wastage and unexpected costs. Our Roofing Area Calculator is here to simplify this process for you.

How to Use the Roofing Area Calculator

1. Measure Your Roof: Accurately measure the length and width of your roof. If your roof has multiple sections, measure each section separately and sum up the total area.
2. Select Roof Pitch: Choose the pitch of your roof from the available options. Common pitches include 4:12, 6:12, 8:12, and so on.
3. Get Your Results: Click the calculate button to get the total roofing area and the roof angle. Use these results to plan and purchase the necessary materials for your project.

How It Works

Step 1: Enter Roof Dimensions

Start by entering the basic dimensions of your roof. Input the length and width of the roof to get an accurate measurement of the footprint area. These measurements are essential as they form the basis for calculating the total roofing area.

Footprint Area Formula

$\text{Footprint Area}=\text{Length}\times \text{Width}$

Step 2: Select Roof Pitch and Calculate roof Area

Roof pitch is a critical factor in determining the actual roofing area. The pitch is typically expressed as a ratio of the vertical rise to the horizontal run, often noted as X:12. For instance, a 4:12 pitch means the roof rises 4 inches for every 12 inches of horizontal run.

To find the slope length of the roof, use the Pythagorean theorem:

$\text{Slope Length}=\sqrt{{\left(\frac{X}{12}\right)}^2+1}$

The roof area is the footprint area multiplied by the slope factor:

$\text{Total Roof Area}=\text{Footprint Area}\times \text{Slope Length}$

Step 3: Calculate Roofing Angle

Once you’ve entered the roof dimensions and selected the pitch. It uses the footprint area and the pitch to calculate the total roofing area, considering the slope. Additionally, it calculates the roof angle, providing you with precise details necessary for your roofing project.$$

$\text{Roof angle}={tan}^{-1}\left(\frac{x}{12}\right)$

Example Calculation

Suppose you have a roof with a length of 40 feet, a width of 30 feet, and a pitch of 6:12.

Calculate Footprint Area:

Footprint Area= 40ft × 30ft  =1200sq ft

Calculate Slope Length:

$\text{Slope Length}=\sqrt{{\left(\frac{6}{12}\right)}^2+1}$

Calculate Roof Area:

Roof Area = 1200sq ft×1.118 ≈ 1341.6sq ft

Thus, the roof area is approximately 1341.6 square feet.

Roof Angle Calculation

For a pitch of 6:12:

$\text{Angle}={tan}^{-1}\left(\frac{6}{12}\right)$

$\text{Angle}={tan}^{-1}\left(\text{0.5}\right)$

$Angle\approx 26.57$

So, the roof angle is approximately 26.57 degrees.

These formulas provide a comprehensive method to calculate the roofing area and the roof angle based on the roof's dimensions and pitch.