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anonymous
 5 years ago
Optimization question: Find the dimensions of a rectangle of largest area that can be inscribed in the circle x^2 + y^2=9
anonymous
 5 years ago
Optimization question: Find the dimensions of a rectangle of largest area that can be inscribed in the circle x^2 + y^2=9

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its a square.... just to let you know ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you please help me out and tell me how to get the solution?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the solution to this is to just use 1/4 of the circle the part that lies in the first qudrant

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we know the are of the 'rectangle' = xy right? and our 'line' is full of x and y options; so lets use the equation to define x or y in terms of the other...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes i got y= square root of 9x^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^2 + y^2 = 9 x^2 = 9  y^2 x = sqrt(9y^2) ; use this value of 'x' in the rectangle area equation

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0y = ... is fine to; doesnt matter lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol okay then just substitute inside the equation A=xy

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay thank you so much

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0just to let you know; the optimum is at 45 degrees; or rather when y = 9sin(45) :)
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