Answer
$\frac{8}{\pi}$ cm
Work Step by Step
We use the formula $s=θr$.
We solve the formula for $r$: $r=\frac{s}{θ}$.
We plug in the given values and simplify: $r=\frac{6}{\frac{3\pi}{4}}=\frac{4\times6}{3\pi}=\frac{8}{\pi}$ cm.
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