Degrees to Percent Calculator

Convert Degrees to Percent of Slope (P)

Formula

The formula to convert an angle in degrees to a percentage of slope (P) is:

\[ P = \tan(D \cdot \left(\frac{\pi}{180}\right)) \cdot 100 \]

Where:

What is the Percent of Slope?

The percent of slope is a way of expressing the steepness or incline of a surface as a percentage. It is calculated by taking the tangent of the angle of the slope in degrees and converting it to a percentage. This measure is commonly used in fields such as civil engineering, construction, and road design to describe the grade of a slope.

Example Calculation

Let's assume the following value:

Using the formula to calculate the Percent of Slope:

\[ P = \tan(30 \cdot \left(\frac{\pi}{180}\right)) \cdot 100 \approx \tan(0.5236) \cdot 100 \approx 0.5774 \cdot 100 = 57.74\% \]

The Percent of Slope is approximately 57.74%.