1. What is Slope Ratio to Degrees Conversion?

The Slope Ratio to Degrees conversion calculates the angle of inclination from the ratio of vertical rise to horizontal run. This is commonly used in construction, engineering, and mathematics to determine slope angles.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle in degrees
• \( Rise \) — Vertical height (units)
• \( Run \) — Horizontal distance (units)
• \( \arctan \) — Inverse tangent function
• \( \frac{180}{\pi} \) — Conversion factor from radians to degrees

Explanation: The arctangent function calculates the angle whose tangent equals the rise/run ratio, then converts from radians to degrees.

3. Importance of Slope Angle Calculation

Details: Accurate slope angle calculation is essential for roof construction, road design, wheelchair ramps, drainage systems, and various engineering applications where proper incline is critical.

4. Using the Calculator

Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical slope ratio for roofs?
A: Residential roofs typically range from 4:12 (18.4°) to 12:12 (45°), depending on climate and roofing material.

Q2: How does slope percentage relate to degrees?
A: Slope percentage = (Rise/Run) × 100%. For example, a 45° angle equals 100% slope.

Q3: What is the maximum slope for wheelchair ramps?
A: ADA guidelines recommend maximum 1:12 slope (4.76°) for wheelchair ramps.

Q4: Can I use different units for rise and run?
A: No, both values must be in the same units since the calculation uses their ratio.

Q5: What does a 1:1 slope ratio mean?
A: A 1:1 ratio means equal rise and run, resulting in a 45° angle.