Roof Rise Calculator — Calculate Roof Pitch, Rise & Run

Roof Rise Calculator

Calculate roof pitch, rise, run and rafter length for roofing projects. Convert between pitch formats (ratio, degrees, percentage).

Step 1: Roof Measurements

Rise: 6″
Run: 12″

Understanding Roof Pitch

Roof pitch is expressed as rise over run (e.g., 6:12 means 6 inches rise for every 12 inches run). Common pitches: Low (2:12-4:12), Medium (4:12-9:12), Steep (9:12-12:12+).

Step 2: Calculation Options

Roof Pitch Formulas

Pitch (ratio): Rise ÷ Run (per 12″ run)
Pitch (degrees): arctan(Rise ÷ Run)
Pitch (%): (Rise ÷ Run) × 100
Rafter Length: √(Rise² + Run²)

Roof Rise Calculation Results

Roof Summary
Pitch Comparison
Roof Formulas

Roof Pitch

6:12
6″ rise per 12″ run
Angle
26.57°
Percentage
50%
Rafter Length
13.42″
Pitch Category
Medium

Roof Pitch Comparison

Pitch (Ratio) Angle Percentage Category Common Use

Roof Calculation Formulas

Pitch Conversion Formulas

Ratio to Degrees: Angle = arctan(Rise ÷ Run)
Ratio to Percentage: % = (Rise ÷ Run) × 100
Degrees to Ratio: Rise = tan(Angle) × Run

Rafter Length Calculation

Formula: Rafter = √(Rise² + Run²)
Example: Rise = 6″, Run = 12″ → Rafter = √(36 + 144) = √180 = 13.42″

Common Roof Pitches

Low Slope: 2:12 to 4:12 (9.5° to 18.4°)
Medium Slope: 4:12 to 9:12 (18.4° to 36.9°)
Steep Slope: 9:12 to 12:12 (36.9° to 45°)
Very Steep: 12:12+ (45°+)

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