Deck Angle Calculator
Calculate deck angles, staircase slopes, and railing angles. Determine pitch, angle degrees, and rise-to-run ratios for deck construction and carpentry projects.
Step 1: Deck Measurements
Deck Angle Formula
Angle (degrees) = arctan(Rise ÷ Run)
Percent Grade = (Rise ÷ Run) × 100
Roof Pitch = Rise per 12 inches of run
Step 2: Application & Options
Common Deck Angles
Staircase: 30-35° (7″ rise, 11″ run)
Accessibility Ramp: ≤ 4.8° (1:12 slope)
Deck Roof: 15-30° (3:12 to 7:12 pitch)
Comfortable Slope: 2-5° for water runoff
Deck Angle Results
Calculated Deck Angle
Angle Visualization
Deck Angle Applications
| Application | Recommended Angle | Rise/Run Ratio | Code Compliance |
|---|
Deck Angle Formulas
Angle (degrees) = arctan(Rise ÷ Run)
Where:
• Rise = Vertical height (inches)
• Run = Horizontal distance (inches)
• arctan = Inverse tangent function
Alternative Calculations:
• Percent Grade = (Rise ÷ Run) × 100
• Rise/Run Ratio = Rise : Run (simplified)
• Roof Pitch = Rise per 12 inches of run
Example Calculation
Example: Standard Deck Staircase
Rise: 7 inches
Run: 11 inches
Calculation:
Angle = arctan(7 ÷ 11)
Angle = arctan(0.6364)
Angle = 32.5°
Percent Grade:
(7 ÷ 11) × 100 = 63.6%
Roof Pitch:
(7 ÷ 11) × 12 = 7.6:12 pitch
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