Final answer:
The radius of the circle given by the equation (x+4)^2 + (y-7)^2 = 16 is 4 units.
Step-by-step explanation:
The equation (x+4)^2 + (y-7)^2 = 16 represents a circle in a coordinate plane.
The general form of a circle's equation is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
In this case, the radius of the circle can be found by taking the square root of the number on the right side of the equation, which is 16.
Therefore, the radius of the circle is 4 units.