1. What is a Slope Percent to Degrees Calculator?

Definition: This calculator converts slope percentage (rise/run × 100) to degrees of angle.

Purpose: It helps engineers, surveyors, and construction professionals translate between these two common slope measurement systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Degrees — The angle of inclination
• Slope Percent — The rise over run expressed as a percentage
• arctan — The inverse tangent function

Explanation: The slope percentage is divided by 100 to convert it to a ratio (e.g., 25% becomes 0.25), then the arctangent calculates the corresponding angle.

3. Importance of Slope Conversion

Details: Different fields use different measurements - civil engineering often uses percent, while many other applications use degrees.

4. Using the Calculator

Tips: Simply enter the slope percentage (must be ≥ 0) and click calculate to get the equivalent angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between slope percent and degrees?
A: Percent is rise/run × 100 (e.g., 100% = 45°), while degrees measure the actual angle from horizontal.

Q2: What does 100% slope equal in degrees?
A: 100% slope equals exactly 45 degrees (a 1:1 slope).

Q3: How steep is a 30 degree slope in percent?
A: Approximately 57.7% slope (tan(30°) × 100).

Q4: What's considered a steep slope?
A: In construction, slopes > 30° (≈58%) are generally considered steep.

Q5: Why do we divide by 100 in the formula?
A: To convert from percentage (per hundred) to decimal form for the trigonometric calculation.