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Slope Conversion Formula:
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The Slope Gradient to Degrees conversion calculates the angle of inclination in degrees from a percentage gradient. This is commonly used in civil engineering, construction, road design, and topography to express slope steepness.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula converts the ratio (gradient/100) to an angle using the arctangent function, then converts from radians to degrees.
Details: Accurate slope angle calculation is essential for road safety standards, building construction, drainage design, wheelchair accessibility ramps, and geological assessments.
Tips: Enter the gradient percentage value. The calculator will automatically compute the corresponding angle in degrees. Gradient values must be non-negative.
Q1: What is the difference between gradient percentage and degrees?
A: Gradient percentage represents rise over run (vertical/horizontal × 100%), while degrees represent the actual angle of inclination.
Q2: What are common gradient values for different applications?
A: Roads typically 6-8%, wheelchair ramps 5-8.33%, roof pitches vary from 10-45 degrees depending on material and climate.
Q3: How accurate is this conversion?
A: The mathematical conversion is precise. Accuracy depends on the precision of your input gradient measurement.
Q4: Can this calculator handle negative gradients?
A: The calculator accepts only non-negative values as negative gradients would represent downward slopes in the opposite direction.
Q5: What is the maximum gradient this calculator can handle?
A: Theoretically unlimited, but practically gradients above 100% (45 degrees) are very steep and above 200% (63.4 degrees) approach vertical.