Enter the angle in degrees into the calculator to convert it to a percentage of slope. This calculator helps in converting the incline of a surface from degrees to a percentage, which is often used in grading and civil engineering.
Degrees to Percent Formula
The following formula is used to convert an angle in degrees to a percentage of slope:
P = tan(D * (π / 180)) * 100
Variables:
- P is the percent of slope
- D is the angle in degrees
- tan is the tangent function
- π / 180 is the conversion factor from degrees to radians
To convert degrees to percent, take the tangent of the angle in degrees, then multiply by the conversion factor (π / 180) to convert the angle to radians, and finally multiply by 100 to get the percentage.
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.
How to Calculate Percent of Slope from Degrees?
The following steps outline how to calculate the percent of slope from degrees:
- First, determine the angle of the slope in degrees (D).
- Next, use the formula P = tan(D * (π / 180)) * 100.
- Finally, calculate the percent of slope (P).
- After inserting the variable and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variable as an example problem to test your knowledge.
angle of the slope in degrees (D) = 45 degrees
The percent of slope (P) would be calculated as follows:
P = tan(45 * (π / 180)) * 100 = 100%
