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Need help with equation of a circle

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It is important to know that the standard form of a circle is


(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center.

According to the given image, the center is (-1,2). So, h = -1 and k = 2.

Also, the radius shown is 2 units. So, r = 2.

Hence, the equation would be


\begin{gathered} (x-(-1))^2+(y-2)^2=2^2 \\ (x-(-1))^2+(y-2)^2=4 \end{gathered}

Hence, the answer is C.

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