Final answer:
The center of the circle is (-12, 7) and the radius is 14 units.
Step-by-step explanation:
The equation for a circle is given by (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.
In the given equation (x+12)²+(y−7)²=196, we can see that the center of the circle is at (-12, 7) and the radius is √196 = 14.
Therefore, the center of the circle is (-12, 7) and the radius is 14 units.