Slope Percentage Formula:
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Slope percentage represents the steepness or incline of a surface, calculated as the ratio of vertical rise to horizontal run expressed as a percentage. It is commonly used in construction, engineering, and landscaping to describe gradients.
The calculator uses the slope percentage formula:
Where:
Explanation: The formula calculates the tangent of the slope angle and expresses it as a percentage, where 100% slope equals a 45-degree angle.
Details: Accurate slope calculation is essential for proper drainage design, road construction, wheelchair ramp compliance, roof pitch determination, and ensuring structural stability in various engineering applications.
Tips: Enter rise and run values in consistent units (both meters or both feet). Ensure both values are positive numbers greater than zero for accurate calculation.
Q1: What does a 10% slope mean?
A: A 10% slope means for every 100 units of horizontal distance, the elevation changes by 10 units vertically.
Q2: How is slope percentage different from slope ratio?
A: Slope percentage is the ratio expressed as a percentage (e.g., 25%), while slope ratio is expressed as a ratio (e.g., 1:4 or 1/4).
Q3: What is the maximum slope for wheelchair ramps?
A: ADA guidelines recommend a maximum slope of 8.33% (1:12 ratio) for wheelchair ramps.
Q4: Can slope percentage exceed 100%?
A: Yes, slopes greater than 100% indicate angles steeper than 45 degrees. A 100% slope equals 45 degrees.
Q5: How do I convert slope percentage to degrees?
A: Use the formula: angle = arctan(slope percentage ÷ 100). For example, 25% slope = arctan(0.25) ≈ 14 degrees.