Question

Need help with equation of a circle

Answer 1

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.