Question

Write the standard equation of the circle with center (-8, -1) and r= 17.The standard form of the equation of the circle is

Answer 1

The standard form of the equation of the circle is;

`(x+8)^2+(y+1)^2=7`

Here, we want to write the equation of the circle

We have the circle center as (a,b) and the radius r as root 7

We have the general form as;

`\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ =(x+8)^2+(y+1)^2=(\sqrt[]{7})^2 \\ =(x+8)^2+(y+1)^2\text{ = 7} \end{gathered}`