The equation of the circle in the graph is (x + 2)² + (y - 4)² = 16
How to get the equation?
The equation of a circle of radius R, with a center at (a, b) is written as:
(x - a)² + (y - b)² = R²
Here we can see that the center of the circle is at the point (-2, 4), then the equation of the circle becomes:
(x + 2)² + (y - 4)² = R²
Now we can see that the radius of the circle (distance from the center to the edge) is R = 4 units, then we will get:
(x + 2)² + (y - 4)² = 4²
(x + 2)² + (y - 4)² = 16