Question

(x−1) 2+(y+3) 2=16Use the equation of the circle given above to find the center and radius.Use the graph provided in the Show Your Work box to graph the circle.Center:Radius:

Answer 1

Given:

`\text{ The equation of a circle }(x-1)^2+(y+3)^2=16`

Required:

Use the equation of the circle given above to find the center and radius.

Explanation:;

We know the standard equation of the circle

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

Now ,

in given equation, center is (1, -3) and radius is 4.

Answer:

Answered the question.