Angle Calculation Formula:
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The angle of slope calculation converts a slope ratio (rise over run) into degrees, which is commonly used in UK construction, landscaping, and engineering to describe incline steepness.
The calculator uses the trigonometric formula:
Where:
Explanation: The arctangent function converts the slope ratio to an angle in radians, which is then converted to degrees for more intuitive understanding.
Details: Knowing the angle of slope is crucial for construction safety, wheelchair ramp design, road engineering, and determining suitable gradients for various applications in the UK.
Tips: Enter the slope value (rise divided by run) as a unitless number. For example, a 1:10 slope would be entered as 0.1.
Q1: What's the difference between slope and angle?
A: Slope is a ratio (rise/run) while angle is the actual incline measured in degrees from horizontal.
Q2: What's the maximum recommended slope for wheelchair access in the UK?
A: The UK generally recommends no more than 1:12 slope (about 4.76°) for wheelchair ramps.
Q3: How does this relate to percentage grade?
A: Percentage grade is slope × 100. A 45° angle equals 100% grade.
Q4: What's considered a steep slope in the UK?
A: In UK construction, slopes above 20° are generally considered steep and may require special considerations.
Q5: Can this calculator handle negative slopes?
A: This version calculates positive angles only. Negative slopes would indicate downhill gradients.