we can calculate the center and radious using this form of the equation of the circle
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
Where D is -2, E is 16 and F is 61
Center is
[tex](a,b)[/tex]
where a is
[tex]\begin{gathered} a=-\frac{D}{2} \\ \\ a=-\frac{-2}{2} \\ \\ a=1 \end{gathered}[/tex]
and b is
[tex]\begin{gathered} b=-\frac{E}{2} \\ \\ b=-\frac{16}{2} \\ \\ b=-8 \end{gathered}[/tex][tex]C(1,-8)[/tex]
Radious
[tex]\begin{gathered} r=\sqrt[]{a^2+b^2-F} \\ \\ r=\sqrt[]{1^2+(-8)^2-61} \\ \\ r=\sqrt[]{1+64-61} \\ \\ r=\sqrt[]{4}=2 \end{gathered}[/tex]
radious is 2 units
