Question

This is the clearest photo i can getDetermine the equation of the circle graphed below

Answer 1

Given the graph of the circle

To write the equation of the circle , we need to find the radius and the coordinates of the center

As shown in the figure :

The center of the circle = (h,k) = ( 7 , 5 )

And the radius of the circle = r = 3

The general equation of the circle is :

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

Substitute with the values of h, k and r :

So, the equation of the given circle is :

`\begin{gathered} (x-7)^2+(y-5)^2=3^2 \\ \\ (x-7)^2+(y-5)^2=9 \end{gathered}`