Answer: Choice C)
![x^2 + (y-2)^2 = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/n2guqfe3yps8akyudt4p3ozhjdzo4xmae6.png)
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Step-by-step explanation:
The center is at (0,2). So (h,k) = (0,2) leads to h = 0 and k = 2.
The radius is 2 units, meaning r = 2.
Plug h = 0, k = 2, r = 2 into the formula below and simplify
![(x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-2)^2 = 2^2\\\\x^2 + (y-2)^2 = 4](https://img.qammunity.org/2021/formulas/mathematics/high-school/gih4p7tx8n1qgsdjkpatwhr7fr135uzkrb.png)