Answer
$$\frac{3\pi}{2} .$$
Work Step by Step
Since $45^o= 45\times\frac{\pi}{180} \ rad= \frac{\pi}{4}\ rad$, then using the relation $s=r\theta$, we have $$ s=r\theta=6\times \frac{\pi}{4}=\frac{3\pi}{2} .$$
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