`r = tan( theta )*100`

Enter a value for all fields

The  Degree to Percent Grade calculator converts an angle in degrees to a percent grade.

INSTRUCTIONS: Enter the following:

• (θ) Degrees (angle) Inclined 

Percent Grade (r):  The calculator returns the grade in percentage.

The Math

Percent grade is the slope of an incline, often referred to as rise over run where the run is 100 units (e.g., feet, meters, inches).  In short, it a ratio. To get the percent grade you take the tangent of the angle. This will return the percent grade of the incline. We then multiply it by 100 to put it in the format we are use to seeing for percents.

The formula for percent grade is:

     `r = 100*tan(theta)`

where:

• r = grade as a percent
• `theta` = angle of grade

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Vehicle Calculators

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