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6-146.
An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200 meter running track. Let A be the area of the rectangular region. Label all parts of the diagram. Note that x is the radius of the circular portion. Homework Help ✎
Solve for y in terms of x.
Express A as a function of x.
Circumference = 2πr (or 2πx in this case)
200 = 2y + 2πx
Use the information from part (a).
A = xy + πx2