1. What is Slope Percentage?

Slope percentage represents the incline of a surface as a percentage. It is calculated as the tangent of the angle multiplied by 100, providing a measure of vertical rise per 100 units of horizontal distance.

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 an angle in a right triangle represents the ratio of the opposite side (vertical rise) to the adjacent side (horizontal run). Multiplying by 100 converts this ratio to a percentage.

3. Importance of Slope Calculation

Details: Slope percentage is crucial in various fields including civil engineering, construction, landscaping, and road design. It helps determine proper drainage, accessibility compliance, and structural stability.

4. Using the Calculator

Tips: Enter the angle in degrees (0-90°). The calculator will convert this to slope percentage. For example, a 45° angle equals 100% slope (rise equal to run).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope angle and slope percentage?
A: Slope angle is measured in degrees, while slope percentage expresses the same incline as a percentage (rise over run × 100).

Q2: What is the maximum slope percentage?
A: Theoretically, slope percentage can approach infinity as the angle approaches 90°, but practical applications typically use slopes up to 100% (45° angle).

Q3: How is slope percentage used in construction?
A: It's used for specifying roof pitches, ramp gradients, road grades, and drainage systems to ensure proper function and safety.

Q4: What slope percentage is considered wheelchair accessible?
A: ADA guidelines recommend a maximum slope of 8.33% (1:12 ratio) for wheelchair ramps.

Q5: Can I calculate slope percentage without knowing the angle?
A: Yes, if you know the rise and run measurements, slope percentage = (rise/run) × 100.