Pitch to Angle Calculator
Convert roof pitch (rise over run) to angle in degrees with our comprehensive calculator. Essential tool for roofing, construction, framing, and DIY projects.
Step 1: Enter Roof Pitch
Understanding Roof Pitch
Roof pitch is expressed as a ratio of vertical rise to horizontal run. A 4:12 pitch means 4 inches of vertical rise for every 12 inches of horizontal run. This calculator converts that ratio to degrees.
Step 2: Calculations & Results
About Roof Pitch Standards
Most residential roofs have pitches between 4:12 and 9:12. Flat roofs are typically 2:12 or less. Steeper pitches are common in snowy climates or for architectural styles like Gothic or Victorian.
Conversion Results
Roof Angle in Degrees
Common Roof Pitch Conversions
| Pitch Ratio | Angle (Degrees) | Slope (%) | Common Use |
|---|
Pitch Classification
Low Slope (2:12 to 4:12): Common for modern and commercial buildings.
Conventional (4:12 to 9:12): Most common for residential construction.
Steep (9:12+): Used in snowy climates or for specific architectural styles.
Pitch Visualization
Conversion Formulas
Angle (degrees) = arctan(Rise / Run) × (180 / π)
To convert pitch to degrees: Divide rise by run to get the tangent, then take the arctangent (inverse tangent) of that value, and finally convert from radians to degrees by multiplying by 180/π.
Slope Percentage = (Rise / Run) × 100
Rafter Length = √(Rise² + Run²)
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