Enter the gradient of a slope (rise over run) into the calculator to convert it to degrees. The calculator will provide the angle in degrees based on the gradient input.

## Gradient To Degrees Formula

The following formula is used to convert a gradient to degrees:

degrees = atan(gradient) * (180 / π)

Variables:

- Gradient is the ratio of the rise to the run (rise/run).
- Degrees is the angle in degrees that corresponds to the gradient.

To convert a gradient to degrees, take the arctangent of the gradient and then convert the result from radians to degrees by multiplying by 180/π.

## What is Gradient?

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.

## How to Calculate Gradient to Degrees?

The following steps outline how to convert the gradient of a slope to degrees:

- First, determine the gradient of the slope (rise over run).
- Next, use the formula: degrees = atan(gradient) * (180 / π).
- Finally, calculate the angle in degrees.
- After inserting the gradient and calculating the result, check your answer with the calculator above.

**Example Problem:**

Use the following variables as an example problem to test your knowledge.

Gradient (rise/run) = 0.5

Using the formula, the degrees would be calculated as:

degrees = atan(0.5) * (180 / π) ≈ 26.57 degrees