Grade Formula:
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Grade of slope represents the steepness or incline of a surface, expressed as a percentage. It is calculated as the ratio of vertical rise to horizontal run multiplied by 100.
The calculator uses the grade formula:
Where:
Explanation: The formula calculates the percentage of slope by comparing the vertical elevation change to the horizontal distance.
Details: Grade calculation is essential in civil engineering, construction, road design, landscaping, and accessibility planning to ensure proper slope gradients for safety and functionality.
Tips: Enter both rise and run values in the same units (meters, feet, etc.). Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is considered a steep slope?
A: Generally, slopes above 15-20% are considered steep, while slopes above 30% are very steep and may require special engineering considerations.
Q2: How does grade relate to angle?
A: Grade percentage can be converted to degrees using the formula: angle = arctan(rise/run). A 100% grade equals a 45-degree angle.
Q3: What are typical road grade limits?
A: Most highways have maximum grades of 6-8%, while mountain roads may have grades up to 12-15% in extreme conditions.
Q4: Can grade be negative?
A: Yes, negative grade indicates a downward slope or decline rather than an incline.
Q5: What units should I use for rise and run?
A: Use consistent units (both in meters, both in feet, etc.). The calculator will work with any unit system as long as both measurements use the same units.