Slope Formula:
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Slope in degrees represents the angle of inclination or gradient of a surface, measured from the horizontal plane. It is commonly used in various fields including construction, engineering, and geography to describe steepness.
The calculator uses the slope formula:
Where:
Explanation: The formula calculates the angle by taking the arctangent of the ratio between vertical rise and horizontal run.
Details: Calculating slope in degrees is essential for proper drainage design, road construction, roof pitch determination, and ensuring safety in various construction and engineering projects.
Tips: Enter both rise and run values in the same units (e.g., meters, feet). Both values must be positive numbers, with run greater than zero.
Q1: What's the difference between slope percentage and degrees?
A: Slope percentage is (Rise/Run)×100%, while degrees use trigonometric calculation. 45° equals 100% slope.
Q2: What is considered a steep slope?
A: Generally, slopes above 30° are considered steep, while slopes above 45° are very steep and may require special considerations.
Q3: Can I use negative values for rise?
A: This calculator uses absolute values. For downward slopes, the result represents the angle of declination.
Q4: What are typical slope ranges for different applications?
A: Wheelchair ramps: 4.8-7.2°, Roof pitches: 18-45°, Ski slopes: 25-45°, Highway grades: typically under 6°.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements.