Rise Over Run to Percent Slope Calculator

How to Calculate Percent Slope from Rise and Run

Converting rise and run to percent slope is a common task in various fields, including construction, engineering, and surveying. This calculation helps determine the steepness of an incline or the grade of a road.

Percent Slope Formula

The formula to convert rise and run to percent slope is:

\[ \text{Percent Slope} = \frac{\text{Rise}}{\text{Run}} \times 100\% \]

Where:

• Rise is the vertical change
• Run is the horizontal change

Calculation Steps

1. Determine the rise (vertical change) and run (horizontal change)
2. Calculate the ratio of rise to run
3. Multiply this ratio by 100 to get the percent slope

Example Calculation

Let's calculate the percent slope for a rise of 3 units and a run of 4 units.

1. Rise = 3, Run = 4
2. Calculate the ratio: \[ \frac{\text{Rise}}{\text{Run}} = \frac{3}{4} = 0.75 \]
3. Convert to percent slope: \[ 0.75 \times 100\% = 75\% \]

Therefore, the percent slope is 75%.

Visual Representation

A visual representation can help understand the concept better. Here's a diagram showing the rise, run, and percent slope for the example above:

This diagram illustrates the rise (vertical change), run (horizontal change), and the resulting percent slope.