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Degree to Percent Slope Calculator

Last updated: 11 Mar 2025 | Author: Brij | Review By: Irshad
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It converts a slope angle (in degrees) into a percentage to help determine the steepness of roads, ramps, roofs, and land surfaces.

Result

Common Slope Conversions Table

Slope (Degrees) Slope (%)
1° 1.75%
5° 8.75%
10° 17.63%
15° 26.79%
20° 36.40%
30° 57.74%
45° 100.00%

When working with roads, ramps, roofs, or landscaping, slope measurement is crucial for safety and functionality. Slopes can be represented in degrees or as a percentage (% gradient). Converting between these units helps ensure proper design and compliance with regulations.

A Degree to Percent Slope Calculator simplifies this conversion, providing quick and accurate results.

What Is Slope?

Slope represents the steepness or incline of a surface. It can be expressed in:

  • Degrees (°) – The angle of inclination from a horizontal plane.
  • Percentage (%) – The vertical rise per 100 units of horizontal run.

The higher the percentage, the steeper the slope. For example, a 10% slope means a 10-unit rise for every 100 units of run.

Formula to Convert Degrees to Percent Slope

To convert a slope from degrees to percentage, use the formula:

Slope Percentage=tan⁡(Slope Angle in Degrees)×100\text{Slope Percentage} = \tan(\text{Slope Angle in Degrees}) \times 100Slope Percentage=tan(Slope Angle in Degrees)×100

Example Calculation

Let’s convert a 30° slope into percentage.

Step 1: Identify Given Values

  • Slope Angle (θ) = 30°

Step 2: Apply the Formula

Slope Percentage=tan⁡(30∘)×100\text{Slope Percentage} = \tan(30^\circ) \times 100Slope Percentage=tan(30∘)×100

=0.5774×100= 0.5774 \times 100=0.5774×100

=57.74%= 57.74\%=57.74%

Conclusion

A Degree to Percent Slope Calculator is an essential tool for engineers, architects, and landscapers. It simplifies slope conversion, ensuring accuracy in construction, road planning, and accessibility projects.

Degree to Percent Slope Calculator

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