Answer:
The equation of the circle with radius 4.
Step-by-step explanation:
The given equation is [tex]$ x^2 + y^2 = 16 $[/tex].
General equation of the circle is [tex]$ (x - h) ^2 + (y-k)^2 = r^2 $[/tex]
where: [tex]$ (h, k) $[/tex] is the centre of the circle and [tex]$ r $[/tex] is the radius.
Here the centre is [tex]$ (0, 0) $[/tex] and radius is [tex]$ 4 $[/tex].
Therefore this is the equation of the circle with centre [tex]$ (0, 0) $[/tex] and radius [tex]$ 4 $[/tex].