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myininaya
 5 years ago
A rectangular field x units long is capped by a semicircle of radius r at the two ends. The field is to be bounded by a 400m racetrack.
Express the area of the rectangle as a function of r. I have gotten to x=(1600@4*sqrt(160000+8r^2))/(16). Do you think I'm headed in the right direction?
myininaya
 5 years ago
A rectangular field x units long is capped by a semicircle of radius r at the two ends. The field is to be bounded by a 400m racetrack. Express the area of the rectangle as a function of r. I have gotten to x=(1600@4*sqrt(160000+8r^2))/(16). Do you think I'm headed in the right direction?

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myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0@ means plus or minus by the way

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so I started out with the area of the rectangle =x(r^2x^2) and the perimeter is 400=2x+2sqrt(r^2x^2)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0I once I go to my area formula since I found x I can write Area has a function of r

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0I'm assuming cap means the rectangle is enclosed in the semicircle correct?
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