What is the equation of a circle with radius 4 and center (0,8) ?

x^2 + (y-8) ^2 = 16

Step-by-step explanation:

1. Start with the formula for a circle:

(x-h) ^2 + (y-k) ^2 = r^2, where (h, k) is the center and r is the radius

2. Plug in values for the center coordinates and the radius:

(x-0) ^2 + (y-8) ^2 = 4^2

3. Simplify:

x^2 + (y-8) ^2 = 16