1. What is Slope Percentage?

Slope percentage represents the steepness of an incline as a percentage, calculated from the angle in degrees. It's commonly used in engineering, construction, and geography to describe gradients.

2. How Does the Calculator Work?

The calculator uses the slope percentage formula:

Where:

• \( \theta \) — Angle in degrees
• \( \tan \) — Tangent trigonometric function
• 100 — Conversion factor to percentage

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

3. Importance of Slope Percentage Calculation

Details: Slope percentage is crucial for road design, wheelchair accessibility ramps, roof pitch determination, and landscape grading. It helps ensure safety and proper drainage in construction projects.

4. Using the Calculator

Tips: Enter the angle in degrees (0-90°). The calculator will compute the corresponding slope percentage. A 45° angle equals 100% slope.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between degrees and percentage slope?
A: Degrees measure the angle directly, while percentage slope expresses the vertical rise per 100 units of horizontal distance.

Q2: What is a 45-degree angle in percentage?
A: A 45-degree angle equals 100% slope, as tan(45°) = 1, and 1 × 100 = 100%.

Q3: What is considered a steep slope?
A: Generally, slopes above 30% (about 16.7°) are considered steep, while slopes above 50% (about 26.6°) are very steep.

Q4: How is slope percentage used in accessibility ramps?
A: ADA guidelines recommend a maximum slope of 8.33% (about 4.76°) for wheelchair ramps.

Q5: Can this calculator handle angles greater than 90 degrees?
A: No, the calculator is designed for angles between 0-90 degrees, as these represent all possible slope conditions.