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Slope Formula:
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Percentage slope represents the steepness of an incline expressed as a percentage. It indicates how much vertical rise occurs per 100 units of horizontal distance. This measurement is commonly used in civil engineering, construction, and road design.
The calculator uses the mathematical formula:
Where:
Explanation: The formula converts degrees to radians, calculates the tangent of the angle, and multiplies by 100 to express the result as a percentage.
Details: Accurate slope calculation is essential for proper drainage design, road construction, wheelchair ramp compliance, roofing work, and ensuring structural stability in various engineering applications.
Tips: Enter the angle in degrees (0-90°). The calculator will automatically compute the corresponding percentage slope. Common examples: 45° = 100% slope, 30° ≈ 57.74% slope, 15° ≈ 26.79% slope.
Q1: What's the difference between degrees and percentage slope?
A: Degrees measure the angle directly, while percentage slope expresses the ratio of vertical rise to horizontal run multiplied by 100.
Q2: What is considered a steep slope?
A: Generally, slopes above 25% (about 14°) are considered steep for walking, while slopes above 8.33% (about 4.76°) require special consideration for wheelchair access.
Q3: How is percentage slope used in construction?
A: It's used for grading land, designing roads, creating proper drainage, building ramps, and ensuring building code compliance for various structures.
Q4: Can I convert percentage slope back to degrees?
A: Yes, use the formula: θ = arctan(slope%/100) × 180/π
Q5: What are common slope percentages for different applications?
A: Driveways: 12-15%, wheelchair ramps: ≤8.33%, roof pitches: 25-100%, walking paths: ≤10%, drainage pipes: 1-2%.