1. What is Slope to Angle Conversion?

The slope to angle conversion calculates the angle of inclination from the slope ratio (rise over run). This is commonly used in engineering, construction, and various scientific applications.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \text{Slope} \) — The ratio of vertical change to horizontal change (rise/run)
• \( \arctan \) — The inverse tangent function
• \( \pi \) — Mathematical constant pi (~3.14159)

Explanation: The arctangent function converts the slope ratio to an angle in radians, which is then converted to degrees.

3. Importance of Slope-Angle Conversion

Details: Converting slope to angle is essential for construction projects, road design, wheelchair ramp compliance, roof pitch determination, and various engineering applications where precise angle measurements are required.

4. Using the Calculator

Tips: Enter the slope value (unitless ratio of rise/run). The calculator will return the corresponding angle in degrees. Positive values represent upward slopes, negative values downward slopes.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope and angle?
A: Slope is a ratio (rise/run) while angle is the actual inclination measured in degrees from horizontal.

Q2: What does a slope of 1 mean in degrees?
A: A slope of 1 equals a 45-degree angle (arctan(1) = 45°).

Q3: How do you convert angle back to slope?
A: Slope = tan(angle in degrees × π/180).

Q4: What's the maximum possible angle?
A: Theoretically 90° (vertical), though the calculator works for any real number input.

Q5: How accurate is this conversion?
A: Mathematically precise, limited only by floating-point precision in calculations.