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In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+20x-16y-18=0

 Oct 2, 2021
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2x^2+2y^2+20x-16y-18=0           divide by 2

x^2 + 10x     + y^2 - 8y   = 9        complete the square for x and y

 

(x+5)^2      +  ( y -4)^2   = 9 + 25 +16

                                       = 50                   this is a circle centered at -5,4    and   r^2 = 50    <===== use this to calculate the area of the circle

 Oct 2, 2021

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