ANSWER
[tex](x-3)^2+(y-2)^2=4[/tex]
EXPLANATION
The general equation of a circle is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h, k) is the center and r is the radius
From the figure, we see that the center of the circle is (3, 2) and its radius is 2 units, since every point on the circumference of the circle is 2 units away from the center.
Therefore, the equation of the circle is:
[tex]\begin{gathered} (x-3)^2+(y-2)^2=2^2 \\ \Rightarrow(x-3)^2+(y-2)^2=4 \end{gathered}[/tex]
