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Slope Degree to Ratio Formula:
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The Slope Degree to Ratio conversion calculates the rise over run ratio from an angle of slope measured in degrees. This is commonly used in construction, engineering, and landscaping to express slope steepness.
The calculator uses the trigonometric formula:
Where:
Explanation: The tangent of the angle equals the rise divided by the run, so the ratio is expressed as 1 unit of rise for every X units of run.
Details: Accurate slope ratio calculation is essential for proper drainage design, road construction, roof pitching, wheelchair ramp design, and ensuring structural stability in various engineering applications.
Tips: Enter the slope angle in degrees (0° to 89.9°). The calculator will output the ratio as 1:X where X represents the horizontal run for every 1 unit of vertical rise.
Q1: What is the difference between slope ratio and slope percentage?
A: Slope ratio is expressed as rise:run (e.g., 1:4), while slope percentage is (rise/run)×100%. A 1:4 ratio equals 25% slope.
Q2: What is considered a steep slope?
A: Generally, slopes above 30° (1:1.73 ratio) are considered steep. For vehicle access, slopes steeper than 15° (1:3.73 ratio) may be challenging.
Q3: How accurate is this conversion?
A: The conversion is mathematically exact using trigonometric functions. Accuracy depends on the precision of the input angle measurement.
Q4: Can this calculator handle angles above 90 degrees?
A: No, slope angles are typically measured between 0° and 90°. Angles of 90° represent vertical surfaces with infinite slope ratio.
Q5: What are common applications of slope ratios?
A: Roof construction (typically 1:3 to 1:6), road design (1:20 to 1:50), wheelchair ramps (maximum 1:12), and drainage systems.