Given:
There is a equation of circle given in the question as below
[tex]\left(x+7\right)^2+(y-1)^2=9[/tex]
Required:
We want to find the center and radius of given circle
Explanation:
The general equation of circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of circle and r be the radius of circle
Now by comparing we get
[tex]\begin{gathered} (h,k)=(-7,1) \\ r^2=9\Rightarrow r=3 \end{gathered}[/tex]
Final answer:
C
