1. What is Grade to Angle Conversion?

Grade percentage represents the vertical rise per 100 units of horizontal distance. Converting grade to angle provides the actual inclination angle in degrees, which is useful in various engineering and construction applications.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \text{grade} \) — Slope percentage (rise over run × 100)
• \( \arctan \) — Inverse tangent function
• \( \frac{180}{\pi} \) — Conversion factor from radians to degrees

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

3. Applications of Grade-Angle Conversion

Details: This conversion is essential in civil engineering, road construction, railway design, roofing, and any application where slope inclination needs to be precisely measured and communicated.

4. Using the Calculator

Tips: Enter the grade percentage (e.g., 5 for 5% grade). The calculator will return the corresponding angle in degrees. Valid input range is 0% to any positive percentage.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between grade and angle?
A: Grade is expressed as a percentage (rise/run × 100), while angle is measured in degrees from horizontal.

Q2: What does a 100% grade correspond to?
A: A 100% grade equals a 45-degree angle (rise equals run).

Q3: How steep is a 10% grade?
A: A 10% grade corresponds to approximately 5.71 degrees.

Q4: Where is this conversion commonly used?
A: Road signage, construction specifications, wheelchair ramp design, and agricultural terraces.

Q5: Can negative grades be converted?
A: Yes, negative grades (downhill slopes) will give negative angles, but this calculator handles positive values only.