Final answer:
The equation of the circle with center (0, 8) and radius 8 is x² + (y - 8)² = 64.
Step-by-step explanation:
To find the equation of a circle with a given center and radius, we use the general formula of a circle, which is (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 center of the circle is given as (0, 8) and the radius is 8. Plugging these values into the equation, we get:
(x - 0)² + (y - 8)² = 8²
Which simplifies to:
x² + (y - 8)² = 64
This is the equation of the circle with the specified center and radius in the coordinate system.