Answer:
B
Step-by-step explanation:
The equation of a circle is denoted by: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius.
Here, we see that the center is (0, 0), so h = 0 and k = 0. Also, the radius is [tex]3\sqrt{2}[/tex], so r = [tex]3\sqrt{2}[/tex] and [tex]r^2=(3\sqrt{2})^2=9*2=18[/tex].
Then we can write our equation:
[tex](x-0)^2+(y-0)^2=18[/tex]
[tex]x^2+y^2=18[/tex]
The answer is B.
Hope this helps!
