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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-18=20?

 Oct 18, 2021
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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-18=20?

 

Hello Guest!

 

\(2x^2+2y^2+10x-6y-18=20\\ x^2+y^2+5x-3y-19=0\\ \ 27.5=19+2.25+6.25\\ (y^2-3y+2.25)=27.5-(x^2+5x+6.25)\\ (y-1.5)^2=27.5-(x+2.5)^2 \)       \(r^2=27.5\\ P_{centr}\ [-2.5,1.5]\)

\(y=\pm \sqrt{27.5-(x+2.5)^2 }+1.5\)

\(r=\sqrt{27.5}\\ A=r^2\pi \)

\(A=27.5\ \pi\)

laugh  !    

 Oct 19, 2021
edited by asinus  Oct 19, 2021
edited by asinus  Oct 19, 2021
edited by asinus  Oct 19, 2021
edited by asinus  Oct 19, 2021

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