ConvertOnlineSlope Percent Calculator
(Vertical Distance the terrain raises or falls)
units
(Horizontal Distance covered by Slope)
units
How to use this Slope Percent Calculator 🤔
- Enter ✎ value for Vertical Distance the terrain raises or falls (rise).
- Enter ✎ value for Horizontal Distance covered by Slope (run).
- As soon as you enter the required input value(s), the Slope Percent is calculated immediately, and displaed in the output section (present under input section).
Calculating Slope Percentage
The slope percentage is a measure of the steepness or incline of a slope. It is calculated by taking the ratio of the vertical distance (rise) to the horizontal distance (run) and then multiplying by 100 to express it as a percentage. This calculation is commonly used in engineering, road construction, and landscaping to describe the grade of a terrain or road.
The formula to calculate the slope percentage is expressed as:
\( \text{Slope Percentage} = 100 \times \dfrac{ \text{rise} }{ \text{run} } \)
where:
- Rise represents the vertical distance the terrain raises or falls.
- Run represents the horizontal distance covered by the slope.
By dividing the rise by the run and then multiplying by 100, you obtain the slope percentage.
Examples
The following examples demonstrate how to calculate the slope percentage using the given formula.
1. A road has a vertical rise of 10 meters over a horizontal distance of 50 meters. What is the slope percentage of the road?
Answer
Given:
- Rise = 10 meters (Vertical distance)
- Run = 50 meters (Horizontal distance)
The formula to calculate the slope percentage is:
\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)
Substituting the given values into the formula:
\( \text{Slope Percentage} = 100 \times \dfrac{10}{50} \)
Simplifying further:
\( \text{Slope Percentage} = 100 \times 0.2 = 20\% \)
Therefore, the slope of the road is 20%.
2. A hiking trail climbs 15 feet vertically over a horizontal distance of 100 feet. What is the slope percentage of the trail?
Answer
Given:
- Rise = 15 feet (Vertical distance)
- Run = 100 feet (Horizontal distance)
The formula to calculate the slope percentage is:
\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)
Substituting the given values into the formula:
\( \text{Slope Percentage} = 100 \times \dfrac{15}{100} \)
Simplifying further:
\( \text{Slope Percentage} = 100 \times 0.15 = 15\% \)
Therefore, the slope of the hiking trail is 15%.
3. A wheelchair ramp has a rise of 1 meter over a horizontal distance of 12 meters. What is the slope percentage of the ramp?
Answer
Given:
- Rise = 1 meter (Vertical distance)
- Run = 12 meters (Horizontal distance)
The formula to calculate the slope percentage is:
\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)
Substituting the given values into the formula:
\( \text{Slope Percentage} = 100 \times \dfrac{1}{12} \)
Simplifying further:
\( \text{Slope Percentage} = 100 \times 0.0833 = 8.33\% \)
Therefore, the slope of the wheelchair ramp is 8.33%.
4. A ski slope descends 50 meters over a horizontal distance of 200 meters. What is the slope percentage of the ski slope?
Answer
Given:
- Rise = 50 meters (Vertical distance, since it descends)
- Run = 200 meters (Horizontal distance)
The formula to calculate the slope percentage is:
\( \text{Slope Percentage} = 100 \times \dfrac{ \text{Rise} }{ \text{Run} } \)
Substituting the given values into the formula:
\( \text{Slope Percentage} = 100 \times \dfrac{50}{200} \)
Simplifying further:
\( \text{Slope Percentage} = 100 \times 0.25 = 25\% \)
Therefore, the slope of the ski slope is 25%.
Formula
To calculate the slope percent, you can use the following formula.
where
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.