# Determine the Dot's Distance

Calculus Level 2

The location of a dot $$P$$ at a given time $$t$$ in the $$xy$$ plane is given by $$(x,y) = (t - \sin t, 1 - \cos t)$$. What is the distance traveled by $$P$$ in the interval $$0 \leq t \leq 2\pi$$?

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