Answer
$55.6 \%$
Work Step by Step
The area is: $=\pi (3)^2- \pi (2)^2=5 \pi \ ft^2$
Now, the total area is equal to the area of the larger square$=\pi (3)^2=9 \pi \ ft^2$
The probability that the point lies in the shaded region is the ratio of area of the shaded region to the total area:
P(point lies in shaded region)$=\dfrac{5 \pi}{9 \pi}=55.6 \%$