Question

Which equation of a circle has a center C, and radius, r, as shown in the graph? Thanks!

Answer 1

Solution:

Given the graph;

$C=(3,-2),r=\sqrt{26}$

The equation of a circle is;

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \\ h=3,k=-2 \\ \end{gathered}$

Thus;

$(x-3)^2+(y+2)^2=26$