The formula to convert a gradient to degrees is:
\[ \text{degrees} = \arctan(\text{gradient}) \times \left( \frac{180}{\pi} \right) \]
Where:
Gradient is a measure of the steepness or incline of a slope. It is often expressed as a ratio of the vertical rise to the horizontal run. For example, a gradient of 1 means that for every unit of horizontal distance, there is a rise of 1 unit. Gradients are used in various fields such as civil engineering, road construction, and geography to describe the incline of surfaces.
Let's assume the following value:
Using the formula:
\[ \text{degrees} = \arctan(1) \times \left( \frac{180}{\pi} \right) = 45 \]
The angle in degrees is 45°.
Let's assume the following value:
Using the formula:
\[ \text{degrees} = \arctan(0.5) \times \left( \frac{180}{\pi} \right) = 26.5651 \]
The angle in degrees is 26.5651°.
