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What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?

 Mar 7, 2024
 #1
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Simplify as

 

x^2 + 12x + y^2 + 2y  =  10        complete the square on x, y

 

x^2 + 12x + 36  + y^2 + 2y + 1 =  10 + 36 + 1

 

(x + 6)^2  + (y + 1)^2  =  47

 

47 = r^2

 

Area of this  circle =   pi r^2  =  pi * 47  =   47 pi

 

 

cool cool cool

 Mar 7, 2024

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