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Slope Degree Formula:
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Slope degree calculation determines the angle of inclination of a surface or line relative to the horizontal plane. It is commonly used in construction, engineering, geography, and various technical fields to measure steepness and gradient.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula calculates the angle in radians using arctangent of the slope ratio (rise/run), then converts it to degrees by multiplying with 180/π.
Details: Accurate slope degree measurement is essential for construction planning, road design, drainage systems, wheelchair accessibility ramps, roof construction, and geological surveys. It ensures safety, functionality, and compliance with building codes.
Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the slope angle in degrees with two decimal precision.
Q1: What is the difference between slope degree and slope percentage?
A: Slope degree measures the angle in degrees, while slope percentage expresses the ratio as a percentage (rise/run × 100%). A 45-degree slope equals 100% slope.
Q2: What are common slope degree ranges?
A: 0-5° (gentle), 5-15° (moderate), 15-30° (steep), 30-45° (very steep), 45°+ (extreme). Building codes often limit slopes for accessibility and safety.
Q3: Can I use different units for rise and run?
A: Yes, as long as both use the same unit (feet, meters, etc.). The calculator currently uses meters, but the formula works with any consistent unit.
Q4: What is the maximum possible slope degree?
A: Theoretically 90° (vertical), but practical applications rarely exceed 45°. Very steep slopes may require special engineering considerations.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your rise and run measurements in real-world applications.