Answer:
x^2 + y^2 = 32
Step-by-step explanation:
The fact that the circle's center is at (0,0) tells you that the circles equation is of the form x^2 + y^2 = radius^2
radius = 4*sqrt(2) Given
r^2 = (4sqrt(2) )^2
r^2 = 16 * 2
r^2 = 32
So the entire equation is
x^2 + y^2 = 32
