The accompanying figure depicts a racetrack with ends that are semicircular in shape. The length of the track is 880 ft (1/6 mi).
![2416_A racetrack with ends that are semicircular in shape.png](https://secure.tutorsglobe.com/CMSImages/2416_A%20racetrack%20with%20ends%20that%20are%20semicircular%20in%20shape.png)
Find I and r such that the area of the rectangular region of the racetrack is as large as possible.
What is the area enclosed by the track in this case?