So I decided to try deriving a general formula for fun. Being a high school student, the calculus got scary very fast. At this point, I'm just curious as to what the best approach to this might be. The approach I used was finding y as a function of x and then inputting it into the arc length formula. I eventually derived a very complicated formula that I think is wrong. I don't know very much about calculus as everything I've learned about it I've learned through the internet. Would this approach work? Is there a better way? If so what is the correct formula?