A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field. a) What radius of the semicircles end would give the playing field it's maximum area: b) If the track must provide for a straight, greater than or equal to 100 m section for the 100 m sprints but be less than or equal to 60 m wide, what radius will provide the greatest area for the playing field?

Question

A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field.   a) What radius of the semicircles end would give the playing field it's maximum area:  b) If the track must provide for a straight, greater than or equal to 100 m section for the 100 m sprints but be less than or equal to 60 m wide, what radius will provide the greatest area for the playing field?

anonymous · Answer

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