Question

What is the center and the radius of the circle: ( x + 7 ) 2 + ( y - 1 ) 2 = 9 ?

Answer 1

Given:

There is a equation of circle given in the question as below

`\left(x+7\right)^2+(y-1)^2=9`

Required:

We want to find the center and radius of given circle

Step-by-step explanation:

The general equation of circle is

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

where (h,k) is the center of circle and r be the radius of circle

Now by comparing we get

`\begin{gathered} (h,k)=(-7,1) \\ r^2=9\Rightarrow r=3 \end{gathered}`

Final answer:

C