Answer: [tex](x-9)^2 + (y-10)^2 = 22[/tex]
Explanation:
The template for any circle is the form
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
with
Plug in the given values to lead to the equation above.
Since the radius is [tex]r = \sqrt{22}[/tex], we square both sides to get [tex]r^2 = (\sqrt{22})^2 = 22[/tex]. The square root goes away.