Understanding roof pitch is essential for construction, roofing design, and material estimation. With a Roof Pitch to Angle Converter, you can easily convert rise and run values into roof angle (degrees) and slope percentage.

This guide explains the formulas, calculations, and a practical example.

What is Roof Pitch?

Roof pitch describes how steep a roof is. It is usually written as a ratio:

Pitch = Rise : Run

• Rise = vertical height
• Run = horizontal length

Example: A 6:12 pitch means the roof rises 6 inches for every 12 inches horizontally.

Input Values

To use this calculator, you need:

• Roof Pitch (Rise)
• Roof Pitch (Run)

Output Values

The calculator provides:

• Roof Pitch (Ratio)
• Roof Angle (Degrees)
• Roof Slope (%)

Main Formula

The roof angle is calculated using the arctangent function:

$\theta ={tan}^{-1}\left(\frac{\text{Rise}}{\text{Run}}\right)$

Roof Slope Percentage Formula

$\text{Slope (\%)}=\left(\frac{\text{Rise}}{\text{Run}}\right)\times 100$

Roof Pitch Ratio

$\text{Pitch Ratio}=\text{Rise}:\text{Run}$

Step-by-Step Calculation

1. Enter rise and run
2. Divide rise by run
3. Apply inverse tangent (tan⁻¹) to get angle
4. Multiply ratio by 100 to get slope %

Example Calculation

Given:

• Rise = 6
• Run = 12

Step 1: Calculate Ratio

$\frac{6}{12}=0.5$

Step 2: Calculate Roof Angle

$\theta ={tan}^{-1}\left(0.5\right)\approx {26.57}^{\circ }$

Step 3: Calculate Slope Percentage

$\text{Slope}=0.5\times 100=50\%$

Final Result

• Roof Pitch = 6:12
• Roof Angle ≈ 26.57°
• Roof Slope = 50%

Why This Calculator is Useful

• Helps in roof design and planning
• Useful for contractors and DIY homeowners
• Assists in material estimation and safety calculations
• Required for building codes and structural planning