Question

Write the equation of the circle in standard form. Show all work.

Answer 1

`(x-6)^2+(y+3)=7^2`

Step-by-step explanation:

Here, we want to write the equation of the circle

We have the general form as follows:

`\text{ (x-a)}^2+(y-b)^2=r^2`

(a,b) represents the center of the circle, while r represents the radius of the circle

Re-writing the given equation, we have it that:

`\begin{gathered} (x-6)^2+(y+3)^2\text{ = 4 + 45} \\ (x-6)^2+(y+3)=7^2 \end{gathered}`