Answer:
The equation represent a circle with center at the origin and radius 6 units
Step-by-step explanation:
we know that
The equation of a circle in center radius form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
[tex]x^{2} +y^{2}=36[/tex]
so
the center of the circle is the origin [tex](0,0)[/tex]
and the radius is
[tex]r=\sqrt{36}=6\ units[/tex]
therefore
The equation represent a circle with center at the origin and radius 6 units
