General Idea:
Length of a sector is given by the below equation:
[tex] Length \; \; of\;\; Sector \;\; of\; Circle = \frac{\theta }{360} \cdot 2 \cdot \pi \cdot r\\ where \; \; \theta \;is\; in \;degrees \; and \; r\; is\; radius [/tex]
Applying the concept:
Given [tex] \theta = 96^{\circ} [/tex] and [tex] r=14ft [/tex]
Substituting the above details in the formula, we get...
[tex] Length\; \; of\;\;sector\;\;of\;\;circle=\frac{\96}{360} \cdot 2 \cdot \pi \cdot 14\approx 23.5\; feet [/tex]\
Conclusion:
The Distance that the giant wheel cover when it rotates through an angle of 96∘ is 23.5 feet.
