Final answer:
The radius of the circle with the equation (x+3)²+(y-6)²=16 is 4 units.
Step-by-step explanation:
The student is asking to find the radius of a circle given its equation. The equation of the circle provided is in the standard form: (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. In this case, the equation given is (x + 3)² + (y - 6)² = 16. Comparing this to the standard form, we can see that the radius is the square root of 16, which is 4. Therefore, the radius of the circle is 4 units.