Answer:
x^2 + y^2 = 36
Step-by-step explanation:
The equation for a circle in center , radius form is
(x-h) ^2 +(y-k) ^2 = r^2
If the center is (0,0) then h=0 and k=0
The radius is 6
(x) ^2 +(y) ^2 = 6^2
x^2 + y^2 = 36
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~\stackrel{\textit{origin}}{(\stackrel{0}{ h},\stackrel{0}{ k})}\qquad \qquad radius=\stackrel{6}{ r} \\\\\\ (x-0)^2+(y-0)^2=6^2\implies x^2+y^2=36[/tex]
