Step 1 :The pizza is assumed to be a perfect circle with a radius of 16 inches.
Step 2 :The slice John has is 1/8th of the pizza, or 45 degrees of the circle.
Step 3 :The circumference of the circle is given by the formula \(2 \pi \times \text{radius}\).
Step 4 :The length of the crust on John's slice would be 1/8th of the total circumference.
Step 5 :Calculate the circumference: \(2 \pi \times 16 = 100.53\) inches.
Step 6 :Calculate the length of the crust: \(\frac{1}{8} \times 100.53 = 12.57\) inches.
Step 7 :Final Answer: The length of the crust in John's slice is approximately \(\boxed{12.57}\) inches.