Answer:
Option B. [tex](x)^{2}+(y)^{2} =7^{2}[/tex]
Step-by-step explanation:
we know that
The equation of a circle into center radius form is equal to
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
where
(h,k) is the center
r is the radius
In this problem we have
[tex](h,k)=(0,0)[/tex] -----> because the center is at the origin
[tex]r=7\ units[/tex]
substitute
[tex](x-0)^{2}+(y-0)^{2} =7^{2}[/tex]
[tex](x)^{2}+(y)^{2} =7^{2}[/tex]