1. What is the Angle to Slope Conversion?

The Angle to Slope conversion calculates the percentage slope from an angle in degrees. This is commonly used in civil engineering, construction, road design, and landscaping to express incline as a percentage rather than degrees.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle in degrees
• \( \tan(\theta) \) — Tangent of the angle
• 100 — Conversion factor to percentage

Explanation: The tangent of an angle represents the ratio of vertical rise to horizontal run, and multiplying by 100 converts this ratio to a percentage.

3. Importance of Slope Calculation

Details: Slope percentage is crucial for designing accessible ramps, road gradients, drainage systems, and ensuring structural stability in construction projects.

4. Using the Calculator

Tips: Enter the angle in degrees between 0 and 89.9. The calculator will automatically compute the corresponding slope percentage.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum angle I can calculate?
A: The calculator accepts angles up to 89.9 degrees. At 90 degrees, the slope becomes infinite.

Q2: How is slope percentage different from degrees?
A: Degrees measure the angle itself, while percentage expresses the vertical rise per 100 units of horizontal distance.

Q3: What are common slope percentages in construction?
A: ADA ramps: ≤8.33%, driveways: ≤15%, wheelchair ramps: ≤7%, walking paths: ≤5%.

Q4: Can I convert slope percentage back to degrees?
A: Yes, use the formula: θ = arctan(slope%/100) to convert back to degrees.

Q5: Why use percentage instead of degrees for slopes?
A: Percentage is more intuitive for practical applications like construction and engineering, as it directly relates to vertical rise over horizontal distance.