Slope to Degrees Calculator

Convert Slope to Degrees

What is Slope?

Slope is a measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

Formula

The formula to convert slope to degrees is:

\[ \text{Degrees} = \arctan(\text{Slope}) \times \frac{180}{\pi} \]

Example Calculation

Consider a slope of 0.5 (rise/run):

Using the formula:

\[ \text{Degrees} = \arctan(0.5) \times \frac{180}{\pi} \approx 26.57° \]

This means the angle is approximately 26.57 degrees.