Answer:
Therefore the center of circle is (-4,-4) and the radius is [tex]4\sqrt{2} =5.66[/tex]
Step-by-step explanation:
[tex]x^{2} +y^{2}+8x+8y=0[/tex]
Rearrange the terms,
[tex]x^{2} +8x+y^{2}+8y=0[/tex]
Using completing the square method,
[tex](x+\frac{8}{2} )^{2} - (\frac{8}{2})^{2} + (y+\frac{8}{2} )^{2} - (\frac{8}{2})^{2} =0[/tex]
Simplify,
[tex](x+4 )^{2} -16 + (y+4)^{2} -16 =0\\\\(x+4 )^{2} + (y+4)^{2}= (4\sqrt{2})^{2}[/tex]
Therefore the center of circle is (-4,-4) and the radius is [tex]4\sqrt{2} =5.66[/tex]
