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Find the area of the region enclosed by the graph of x^2 + y^2 = 2x - 6y + 6 + 8x - 2y - 5x + 8y + 208.

 Jun 22, 2024
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Simplify as

 

x^2 - 5x + y^2  = 214   complete the square on x

 

x^2 - 5x + 25/4  + y^2  =  214 + 25/4

 

(x - 5/2)^2 + y^2  = 881/4

 

The area =   (881/4) pi ≈  691/94

 

cool cool cool

 Jun 22, 2024

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