Answer
The distance around the pearl is approximately 17.27 feet
Work Step by Step
The distance around the pearl is the circumference of the pearl
Circumference = $\pi$ $\times$ diameter = $\pi$ $\times$ d
Circumference = $\pi$ $\times$ 5$\frac{1}{2}$ = $\pi$ $\times$ 5.5 = 5.5$\pi$ feet
The approximation of the circumference = 5.5 $\times$ 3.14 = 17.27 feet