This tool is to accurately calculate the total roof area. Its helps you determine the exact amount of materials needed for your roof, such as shingles, underlayment, and framing lumber. Knowing the exact roof area allows for better budgeting.

What is a Hip Roof?

A hip roof is a type of roof where all sides slope downwards to the walls. It has no vertical ends, and the sides form a triangle or trapezoid, with the roof sloping toward the center.

Values Needed for Hip Roof Calculation

To use a Hip Roof Calculator, you need the following key inputs:

1. Roof Base Length (L): The horizontal length of the building along the ridge.
2. Roof Base Width (W): The horizontal width of the building.
3. Roof Pitch or Roof Slope (θ): The angle of the roof, either expressed in degrees or as a ratio (like 4:12, meaning 4 inches of rise for every 12 inches of run).

How to Calculate the Area of a Hip Roof

To calculate the area of a hip roof, you need to find the slope length of the roof and then use that to determine the total roof area.

Step 1: Calculate the Slope Length (S)

You can calculate the slope length (the hypotenuse) using the roof width and the roof pitch. This is done using the Pythagorean theorem.

$\text{Slope Length (S)}=\frac{W}{2}÷cos\left(\theta \right)$

Where:

• W/2 is half of the total roof width.
• cos(θ) is the cosine of the roof pitch angle.

Step 2: Calculate the Roof Area (A)

Once you have the slope length, you can calculate the total area of the roof by multiplying the slope length by the roof length, and then doubling the result to account for both sides of the roof.

$\text{Roof Area (A)}=2\times (\text{L}\times \text{S})$

Where:

• L is the roof base length.
• S is the slope length calculated in the previous step.

Example Calculation:

Let’s assume the following values for the roof:

• Roof Base Length (L): 40 feet
• Roof Base Width (W): 30 feet
• Roof Pitch (θ): 30 degrees

Step 1: Calculate the Slope Length

Using the slope length formula:

$\text{Slope Length (S)}=\frac{30}{2}÷cos\left({30}^{\circ }\right)$

$\text{Slope Length (S)}=15÷0.866=17.32$

Step 2: Calculate the Roof Area

Now that we have the slope length, we can calculate the total roof area:

$\text{Roof Area (A)}=2\times (40\times 17.32)$

$\text{Roof Area (A)}=1385.6\text{ square feet}$