How to convert the inclination factor (gradient) from degrees to percentage

Vittorio2019-07-12 11:28:35

I want to share a request for assistance

Request: How can I insert the "Inclined surface" Editor, the "Slope [%]" factor requested as a percentage “%" (See image below), when the data I have is expressed in degrees? (Ex: roof slab inclination expressed in degrees "°").

Answer: You can easily transform to a percentage value, by applying the following formula:

m% = 100*tg ß

where: - m% - is the "slope" factor required by the software - ß is the angle expressed in degrees Conversely, if you have the percentage value and want to convert back to the degrees value, simply proceed with calculating the following inverse formula:

ß=arctang(m%/100)

Ex.01(conversion from degrees to percentage) Data: Pitched roof with an inclination angle of 30°: the gradient factor as a percentage to be is 50.95% (100*tg30).

Ex.02(conversion from percentage to degrees) Data: Pitched roof with a percentage inclination of 50.95%: the angle or slope is equal to 30°(arctang (50.95/100)).

N.B. (If using a calculator remember to set it to "DEG" mode)

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