Answer:
Please refer to attached image for the graph of required circle.
Step-by-step explanation:
The center and radius equation of a circle is :
[tex](x-h)^2 + (y-k)^2 = (r)^2 ...... (1)[/tex]
Where the co-ordinates [tex](x,y)[/tex] from where the circle passes.
[tex](h,k)[/tex] is the co-ordinate of circle's center represented by O.
[tex]r[/tex] is the radius of circle.
Here, we are given that center of circle is at [tex](4,4)[/tex].
So, [tex]h = 4\ and\ k = 4[/tex].
and [tex]r = 3[/tex]
Hence, the equation (1) can be represented as :
[tex]\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=3^{2}\\\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=9[/tex]
Please refer to the image attached in the answer area for the graph of above equation of circle.
Center of circle is represented by O which is the co-ordinate (4,4).
(7,4) is another point on circle.
The radius of circle is also shown in the graph image attached.
