Degree to Percent Slope Calculator [Slope Percentage Calculator]
Use the tangent of the slope angle, multiply by 100, to convert a degree measurement to a percentage slope.
The Degree to Percent Slope Calculator converts angles in degrees to slope percentages, a common measurement in construction, road design, and landscaping. A slope expressed as a percentage represents the vertical rise as a proportion of the horizontal distance. This calculator simplifies the conversion for better understanding and accurate planning.
Formula:
PS = tan(s) ∗ 100
| Variable | Description | Unit |
|---|---|---|
| PS | Percent slope | Percent (%) |
| s | Slope angle | Degrees (°) |
Solved Calculations:
Example 1: Converting 5° to Percent Slope
| Step | Value | Explanation |
|---|---|---|
| Slope angle (s) | 5° | Given angle in degrees |
| Calculate | 0.0875 | Tangent of 5° |
| Multiply by 100 | Convert to percentage | |
| Result | 8.75% | Percent slope |
Example 2: Converting 10° to Percent Slope
| Step | Value | Explanation |
|---|---|---|
| Slope angle (s) | 10° | Given angle in degrees |
| Calculate | 0.1763 | Tangent of 10° |
| Multiply by 100 | Convert to percentage | |
| Result | 17.63% | Percent slope |