Determine Position of Point Relative to Circle

In a coordinate plane, a circle is defined by the equation:

$$ (x - 4)^2 + (y + 2)^2 = 36 $$

This circle has a center at point A and a radius of 6 units. Determine if the point B(4, -2) lies inside, on, or outside of the circle.

To evaluate the position of point B relative to the circle, calculate the distance from point B to center A, and compare it to the radius.