The equation that produces the circle in the given graph is; x² + y² = 16
How to interpret the equation of a Circle?
The general form of equation of a circle is;
(x - h)² + (y - k)² = r²
where;
h, k are coordinates of the circle center
r is the radius
From the graph, we can see that the coordinates of the center is; (0, 0).
Also, radius is;
r = √(4² - 0²)
r = √16
Thus, our equation of the circle in the graph is;
(x - 0)² + (y - 0)² = (√16)²
⇒ x² + y² = 16
Read more about Circle Equation at; https://brainly.com/question/1559324
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