The equation of a circle is . Find the center and the radius of the circle. Then graph the circle.


Answer:
[tex]x^2+y^2=10-6y+25=0[/tex]
[tex]x^2-10x+y^2-6y=-25[/tex]
[tex]now ~add ~25+9 ~ on ~both~ sides[/tex]
[tex](x^2-10x+25)+(y^2-6y+9)=-25+25+9[/tex]
[tex]=(x-5)^2+(y-3)^2=9[/tex]
[tex](x-5)^2+(y-3)=(3)^2[/tex]
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[tex]So, the~ center ~is~(5,3)[/tex]
[tex]The\ radius\ is \ 3\ units[/tex]
[tex](D)\ is \ your\ answer[/tex]