Angle Calculation Formula:
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The angle of slope represents the inclination or gradient of a surface, measured in degrees from the horizontal plane. It is commonly used in engineering, construction, and geography to describe the steepness of terrain or structures.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula converts slope percentage (rise over run × 100) to an angle in degrees using the inverse tangent function.
Details: Accurate angle calculation is crucial for proper drainage design, road construction, roof pitching, and ensuring structural stability in various engineering applications.
Tips: Enter the slope percentage value. The value must be a non-negative number representing the slope percentage.
Q1: What is the relationship between slope percentage and angle?
A: Slope percentage represents the vertical rise per 100 units of horizontal distance, while angle represents the inclination in degrees from horizontal.
Q2: What is a typical slope angle for roads?
A: Most roads have slopes between 3-6% (approximately 1.7-3.4 degrees) for proper drainage and vehicle safety.
Q3: How steep is a 45-degree slope in percentage?
A: A 45-degree slope equals a 100% slope (rise equals run).
Q4: What is the maximum recommended slope for wheelchair access?
A: ADA guidelines recommend a maximum slope of 8.33% (approximately 4.76 degrees) for wheelchair ramps.
Q5: Can this calculator handle negative slopes?
A: This calculator is designed for positive slopes only, as negative slopes would represent downward angles which are typically expressed as positive values with direction specified.