1. What is Gradient Calculation?

Gradient calculation converts an angle in degrees to a slope percentage, representing the steepness of an incline. This is commonly used in civil engineering, road construction, and landscaping to describe slopes and gradients.

2. How Does the Calculator Work?

The calculator uses the gradient formula:

Where:

• \( Degrees \) — Angle in degrees
• \( \tan \) — Trigonometric tangent function
• \( 100 \) — Conversion factor to percentage

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

3. Importance of Gradient Calculation

Details: Accurate gradient calculation is essential for road design, drainage systems, wheelchair ramps, railway construction, and any application where slope steepness affects safety and functionality.

4. Using the Calculator

Tips: Enter the angle in degrees (0-89.9°). The calculator will automatically compute the corresponding gradient percentage. Values must be valid angles between 0 and 89.9 degrees.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between degrees and percentage gradient?
A: Degrees measure the angle directly, while percentage gradient expresses the slope as a percentage (rise over run × 100%).

Q2: What are common gradient percentages for different applications?
A: Roads typically use 6-8%, wheelchair ramps 5-8.33%, while steep mountain roads can reach 15-20%.

Q3: Why is there a 90-degree limit?
A: At 90 degrees, the tangent function approaches infinity, making the gradient percentage undefined for vertical slopes.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise, but practical applications may require additional factors like surface friction and safety margins.

Q5: Can I convert percentage back to degrees?
A: Yes, use the formula: Degrees = arctan(Percentage/100) and convert from radians to degrees.