1. What is Slope Percentage?

Slope percentage is a way to express the steepness of a slope as a percentage. It represents the ratio of vertical change (rise) to horizontal change (run) multiplied by 100. This measurement is commonly used in engineering, construction, and geography.

2. How Does the Calculator Work?

The calculator uses the slope percentage formula:

Where:

• \( y_2, y_1 \) — Vertical coordinates (rise)
• \( x_2, x_1 \) — Horizontal coordinates (run)

Explanation: The formula calculates the ratio of vertical change to horizontal change between two points and converts it to a percentage.

3. Importance of Slope Calculation

Details: Slope percentage is crucial for designing roads, ramps, drainage systems, and assessing land suitability for construction. It helps determine if a slope is too steep for specific uses.

4. Using the Calculator

Tips: Enter the coordinates of two points (x₁,y₁) and (x₂,y₂) in meters. The calculator will compute the slope percentage between these points. Ensure x₂ ≠ x₁ to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What does a 100% slope mean?
A: A 100% slope means the vertical rise equals the horizontal run (45° angle). A 50% slope rises 0.5m for every 1m of horizontal distance.

Q2: How is slope percentage different from angle?
A: Slope percentage is the tangent of the angle multiplied by 100, while angle is measured in degrees. 45° = 100% slope.

Q3: What's the maximum possible slope percentage?
A: Theoretically infinite (for vertical surfaces), though practical limits exist based on material and application.

Q4: When is slope percentage preferred over angle?
A: In construction and engineering where vertical rise per horizontal distance is more practical than angle measurements.

Q5: How accurate is this calculator?
A: It provides precise calculations based on your input coordinates. Accuracy depends on your measurement precision.