Hill Percent Grade Formula:
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Hill percent grade is a measure of slope steepness expressed as a percentage. It represents the vertical rise divided by the horizontal run, multiplied by 100 to convert to a percentage.
The calculator uses the hill percent grade formula:
Where:
Explanation: The formula calculates the ratio of vertical change to horizontal distance and expresses it as a percentage for easy interpretation of slope steepness.
Details: Hill grade percentage is crucial in civil engineering, road construction, landscaping, and outdoor activities. It helps determine slope stability, vehicle capabilities, and hiking difficulty.
Tips: Enter rise and run values in meters. Both values must be positive numbers greater than zero. The calculator will compute the grade percentage automatically.
Q1: What is considered a steep grade?
A: Grades above 10% are considered steep for vehicles, while grades above 30% are very steep and challenging for most activities.
Q2: How does grade percentage relate to degrees?
A: Grade percentage = tan(angle in degrees) × 100. For example, a 45° angle equals 100% grade.
Q3: What is the maximum grade for roads?
A: Most highways have maximum grades of 6-8%, while mountain roads may reach 12-15% in extreme cases.
Q4: Can I use different units?
A: Yes, as long as both rise and run use the same units (feet, meters, etc.), the percentage calculation remains accurate.
Q5: What does negative grade mean?
A: Negative grade indicates a downward slope. The calculation remains the same, but the direction is descending rather than ascending.