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Question
a one mile race tack has two semicircular ends connected by straight lines. express the area enclosed by the track as a function of its semicircular radius, r, and determine its domain
To define the area of the track given r, we know that the sum of the two ends is πrē. I will work with feet, so the total track length is 5,280 feet. The area of the rectangle in the middle is 2rl where r is the radius and l is the length of a side.
The equation for l is 5,280 - 2πr. The total area is then
πrē + 2r(5,280-2πr).
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Answers by Expert:
Scotto
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Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.
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