1. What is the Slope Percentage to Degrees Conversion?

The slope percentage to degrees conversion calculates the angle of inclination from a percentage slope value. This is commonly used in engineering, construction, and geography to convert between different slope measurement systems.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \theta \) — Angle in degrees
• \( \text{percentage} \) — Slope percentage value
• \( \arctan \) — Inverse tangent function
• 100 — Conversion factor for percentage

Explanation: The formula converts the percentage slope (rise over run) to an angle by calculating the inverse tangent of the percentage value divided by 100.

3. Importance of Slope Angle Calculation

Details: Accurate slope angle calculation is crucial for construction projects, road design, wheelchair accessibility compliance, and various engineering applications where precise incline measurements are required.

4. Using the Calculator

Tips: Enter the slope percentage value (must be ≥0). The calculator will automatically compute and display the corresponding angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage slope and degrees?
A: Percentage slope expresses incline as a ratio (rise/run × 100%), while degrees express it as an angle from horizontal.

Q2: What percentage is a 45-degree slope?
A: A 45-degree slope equals 100% grade (rise equals run).

Q3: How steep is a 10% slope in degrees?
A: A 10% slope is approximately 5.71 degrees.

Q4: What's the maximum possible slope percentage?
A: Theoretically unlimited, but practically slopes over 100% (45 degrees) are considered very steep.

Q5: When is this conversion most commonly used?
A: Commonly used in civil engineering, architecture, road construction, and accessibility planning.