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Professional Roof Pitch Calculator

Calculate pitch, angle, and grade for your roofing project

Inches Feet Meters Centimeters

Roof Specifications:

Roof Pitch Ratio
Angle (Degrees)
Grade Percentage
Pitch Factor

Understanding Roof Pitch

Roof pitch is a numerical measure of the steepness of a roof. In construction, it is most commonly expressed as a ratio of the Rise (vertical height) over the Run (horizontal distance). In the United States, this is typically standardized to a ratio over 12 inches.

How the Calculation Works

The math behind roof pitch involves basic trigonometry:

  • Pitch Ratio: Calculated as (Rise / Run) * 12. For example, a 6-inch rise over a 12-inch run is a "6:12 pitch".
  • Angle: Calculated using the arctangent function: arctan(rise / run).
  • Grade: Expressed as a percentage: (rise / run) * 100.

Common Pitch Classifications

Type Ratio Angle
Flat Roof 0/12 to 2/12 0° – 9.5°
Low Slope 2/12 to 4/12 9.5° – 18.4°
Conventional 4/12 to 9/12 18.4° – 36.9°
Steep Slope Above 9/12 > 36.9°

Why Pitch Matters for Your Home

The pitch determines which materials can be used. For instance, asphalt shingles are generally not recommended for pitches below 2/12, as water can seep under the shingles. Conversely, very steep roofs (over 12:12) require specialized safety equipment and installation techniques, increasing labor costs.

function calculateRoofPitch() { var rise = parseFloat(document.getElementById('riseInput').value); var run = parseFloat(document.getElementById('runInput').value); if (isNaN(rise) || isNaN(run) || run <= 0) { alert("Please enter valid positive numbers for Rise and Run."); return; } // Calculation Logic // 1. Pitch Ratio (standardized to /12) var pitchVal = (rise / run) * 12; var pitchFormatted = pitchVal.toFixed(1).replace(/\.0$/, "") + ":12"; // 2. Angle in Degrees var radians = Math.atan(rise / run); var degrees = radians * (180 / Math.PI); var degreesFormatted = degrees.toFixed(2) + "°"; // 3. Grade Percentage var grade = (rise / run) * 100; var gradeFormatted = grade.toFixed(1) + "%"; // 4. Slope Factor (multiplier for surface area) // Formula: sqrt(rise^2 + run^2) / run var factor = Math.sqrt(Math.pow(rise, 2) + Math.pow(run, 2)) / run; var factorFormatted = factor.toFixed(3); // Update UI document.getElementById('pitchRatioResult').innerHTML = pitchFormatted; document.getElementById('angleResult').innerHTML = degreesFormatted; document.getElementById('gradeResult').innerHTML = gradeFormatted; document.getElementById('factorResult').innerHTML = factorFormatted; document.getElementById('resultsArea').style.display = 'block'; }

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