Question

Enter the equation of the circle with the given center and radius. Center: (0,5); radius: 8 The equation of the circle 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} (h,k)=(0,5) \\ \text{ Then} \\ h=0 \\ k=5 \\ \text{ and} \\ r=8 \end{gathered}`

Then,

`(x-0)^2+(y-5)^2=8^2`

Therefore, the equation of the circle is

`x^2+\mleft(y-5\mright)^2=64`