1. What is Slope Percentage?

Slope percentage represents the steepness of a slope expressed as a percentage. It indicates the vertical rise per 100 units of horizontal distance, making it a practical measurement for construction, engineering, and landscaping applications.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

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

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

3. Importance of Slope Calculation

Details: Slope percentage is crucial for road design, drainage systems, wheelchair ramps, roof pitches, and ensuring proper grading in construction projects to meet safety standards and building codes.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope percentage and slope ratio?
A: Slope percentage is rise over run × 100, while slope ratio is expressed as rise:run (e.g., 1:4 for 25% slope).

Q2: What is considered a steep slope?
A: Generally, slopes above 25% are considered steep, while slopes above 50% are very steep and may require special construction considerations.

Q3: How does slope percentage relate to degrees?
A: 0° = 0%, 45° = 100%, 90° = infinite%. The relationship is non-linear due to the tangent function.

Q4: What are common slope percentages in construction?
A: Driveways: 2-15%, wheelchair ramps: ≤8.33%, roof pitches: 10-60%, drainage pipes: 1-2%.

Q5: Can I calculate angle from slope percentage?
A: Yes, using the inverse tangent function: θ = arctan(slope%/100).