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Answer:
D. x² + y² = 4²
Step-by-step explanation:
The general equation of a circle is given in the attached graphic.
In this case, we can see that the center of the circle is at the origin i.e (0,0) and that the radius is 4 units.
the values for h, k and r in the general equation are as follows:
h = 0, k=0, r = 4
putting this into the general equation:
(x-h)² + (y-k)² = r²
(x-0)² + (y-0)² = 4²
x² + y² = 4²
