Question

Find the equation of the circle with the given center and radius:center (-1,-6), and radius = 6

Answer 1

`(x+1)^2+(y+6)^2=36^{}`

Explanation:

We have that the equation of the circle is given as follows:

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

Replacing:

`\begin{gathered} (x-(-1))^2+(y-(-6))^2=6^2 \\ (x+1)^2+(y+6)^2=36^{} \end{gathered}`