Calculating the length of the given curve

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So I'm given the following curve. $$(y-\arcsin(x))^2=1-x^2$$ I have to somehow get the parametric form of the equation and then calculate the length. I class whenever we have to do this kinds of things we always let $y=tx$ and then everything was fine and easy, but here that doesn't seem to work. If you could maybe help me with this beautiful problem, I'd be forever grateful. Thanks.