1. What is Slope Percentage?

Slope percentage represents the steepness of a slope as a percentage, calculated from the angle of inclination. It is commonly used in civil engineering, construction, and landscaping to quantify slope gradients.

2. How Does the Calculator Work?

The calculator uses the slope percentage formula:

Where:

• \( \theta \) — Angle of inclination in degrees
• \( \tan \) — Trigonometric tangent function
• 100 — Conversion factor to percentage

Explanation: The tangent of the angle represents the ratio of vertical rise to horizontal run, which when multiplied by 100 gives the slope percentage.

3. Importance of Slope Calculation

Details: Accurate slope percentage calculation is crucial for proper drainage design, road construction, accessibility compliance, and landscape planning to ensure safety and functionality.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does a 100% slope mean?
A: A 100% slope means the vertical rise equals the horizontal run, which corresponds to a 45° angle.

Q2: How is slope percentage different from angle?
A: Slope percentage quantifies steepness as a ratio (rise/run × 100%), while angle measures the inclination in degrees from horizontal.

Q3: What is the maximum possible slope percentage?
A: As the angle approaches 90°, the slope percentage approaches infinity. A vertical surface (90°) has an undefined slope percentage.

Q4: How is this used in construction?
A: Slope percentages are used for grading, drainage design, ramp construction, and ensuring compliance with building codes and accessibility standards.

Q5: Can this calculator handle negative slopes?
A: This calculator handles positive slopes (0-90°). For negative slopes (declines), the calculation is the same but the direction is downward.