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In terms of pi, what is the area of the circle defined by the equation  2x^2+2y^2+10x-6y-48=0

 Nov 18, 2021
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2x^2+2y^2+10x-6y-48=0             divide the entire equation by 2

x^2 + 5x    +   y^2 -3y    = 24       complete the square for x and y

 

(x+ 2.5)^2    +   (y-1.5)^2   =       24   + 6.25 + 2.25

                                                   24 + 6.25 + 2.25    =   r^2    = 32.5     

                                                                       area = pi r^2      =   32.5 pi

 Nov 18, 2021

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