Step 1 :The length of the crust in John's slice is the same as the length of the arc subtended by the central angle of his slice. The formula for the length of an arc is given by: \[\text{Arc length} = \frac{\text{Central angle}}{360} \times \text{Circumference of the circle}\]
Step 2 :The circumference of a circle is given by: \[\text{Circumference} = \pi \times \text{Diameter}\]
Step 3 :Given that the diameter of the pizza is 16 inches, we can substitute this into the formula for the circumference to get the circumference of the pizza.
Step 4 :Then, we can substitute the central angle of John's slice and the circumference of the pizza into the formula for the arc length to get the length of the crust in John's slice.
Step 5 :Final Answer: The length of the crust in John's slice is approximately \(\boxed{5.03}\) inches.