1. What is Percent Slope to Angle Conversion?

Percent slope (also called grade) is a way to describe the steepness of a slope. Converting percent slope to degrees gives the angle of inclination, which is often more intuitive for understanding steepness.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \text{Percent} \) — The slope percentage (rise over run × 100)
• \( \arctan \) — The inverse tangent function
• \( \pi \) — Mathematical constant pi (~3.14159)

Explanation: The formula converts the ratio (percent/100) to an angle using trigonometry, then converts from radians to degrees.

3. Importance of Slope Angle Calculation

Details: Knowing the angle of a slope is important in construction, engineering, road design, wheelchair ramp planning, and many other applications where precise slope measurements are needed.

4. Using the Calculator

Tips: Simply enter the percent slope value (must be ≥ 0). The calculator will instantly convert it to degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percent slope and degrees?
A: Percent slope is rise over run (100% = 45°), while degrees measure the actual angle of inclination.

Q2: What does a 100% slope mean?
A: 100% slope equals a 45° angle (rise equals run, 1:1 ratio).

Q3: How steep is a 10% slope?
A: Approximately 5.71° (arctan(10/100) × 57.2958).

Q4: What's the maximum possible slope percentage?
A: While percentage can exceed 100% (angles >45°), vertical would theoretically be infinite percentage.

Q5: Why convert percent to degrees?
A: Degrees are often more intuitive for visualizing angles and are used in many technical specifications.