Question

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

Answer 1

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

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