1. What is the Degree of Slope Calculation?

The degree of slope calculation converts a slope ratio (rise over run) into an angle measured in degrees. This is particularly useful in various fields including engineering, construction, and geography.

2. How Does the Calculator Work?

The calculator uses the arctangent function:

Where:

• \( \theta \) — Angle in degrees
• \( m \) — Slope (unitless ratio of rise/run)
• \( \arctan \) — Inverse tangent function

Explanation: The arctangent function converts the slope ratio into an angle measurement, providing the inclination in degrees.

3. Importance of Slope Angle Calculation

Details: Calculating slope angles is essential for proper drainage design, road construction, roof pitch determination, and assessing terrain steepness for various applications.

4. Using the Calculator

Tips: Enter the slope value (rise divided by run) as a decimal number. For example, a 1:4 slope would be entered as 0.25.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope percentage and slope angle?
A: Slope percentage is rise over run expressed as a percentage (e.g., 25%), while slope angle is the actual angle in degrees.

Q2: What is considered a steep slope?
A: Generally, slopes greater than 15 degrees are considered steep, but this varies by application and local regulations.

Q3: How is slope different from gradient?
A: Slope is typically expressed as a ratio (e.g., 1:4) while gradient is often expressed as a percentage, but both represent the same relationship between rise and run.

Q4: Can this calculator handle negative slopes?
A: Yes, negative slope values will result in negative angles, representing downward slopes.

Q5: What are common applications of slope angle calculations?
A: Common applications include road design, roof construction, wheelchair ramp design, landscaping, and geological surveys.