Enter the gradient percentage into the calculator to determine the slope in degrees. This calculator helps in converting a gradient to a slope angle.
Gradient To Slope Formula
The following formula is used to convert a gradient to a slope:
S = atan(G / 100) * (180 / π)
Variables:
- S is the slope (degrees)
- G is the gradient (%)
- atan is the arctangent function
- π (pi) is approximately 3.14159
To convert a gradient to a slope, take the arctangent of the gradient divided by 100 and then convert the result from radians to degrees by multiplying by 180/π.
What is Gradient?
Gradient is a measure of how steep a slope is, expressed as a percentage. It represents the vertical change divided by the horizontal change between two points on a line. In other words, it is the rise over the run, multiplied by 100 to get a percentage.
What is Slope?
Slope is the angle between the horizontal plane and the line of interest. It is often measured in degrees and is used in various fields such as engineering, surveying, and construction to describe the steepness of a hill or incline.
How to Calculate Slope from Gradient?
The following steps outline how to calculate the slope from a gradient:
- First, determine the gradient (G) as a percentage.
- Next, use the formula S = atan(G / 100) * (180 / π) to calculate the slope (S) in degrees.
- Finally, use the calculator above to check your result.
Example Problem :
Use the following variable as an example problem to test your knowledge.
Gradient (G) = 10%
