Answer
$$r=5.0 \ inches$$
Work Step by Step
Using the equation for the area of a square and a circle, we find:
$$ \pi r^2 = s^2 \\ \pi r^2 =(8.9^2) \\ \pi r^2=79.21 \\ r^2=\frac{79.21}{\pi } \\ r=\sqrt{\frac{79.21}{\pi }} \\ r=5.0 \ inches$$
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