Question

Find the center and radius of the circle with the glven equation. Then select the correct graph of the circle x2 + y2 = 16 The center is located at and the radius is

Answer 1

The general equation of a circle is

`\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{ Where} \\ (h,k)\text{ are the coordinates of the center and} \\ r\text{ is the radius of the circle} \end{gathered}`

So, in this case, you have

`\begin{gathered} x^2+y^2=16 \\ (x-0)^2+(y-0)^2=4^2 \\ \text{ Then} \\ h=0 \\ k=0 \\ r=4 \end{gathered}`

Therefore, the center is located at (0,0) and the radius is 4.

And the correct graph of the circle is the one shown in option C.