Answer:
Centre is [tex](7,11)[/tex]
Radius is [tex]6[/tex]
Step-by-step explanation:
The general equation for a circle is written in the form [tex](x-a)^2+(y-b)^2=r^2[/tex] , where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius.
For your circle, [tex](x-7)^2+(y-11)=36[/tex], we can compare it with the general equation to find the centre and radius.
[tex]-a = -7[/tex]
[tex]-b = -11[/tex]
[tex]r^2 = 36[/tex]
Therefore, [tex]a=7[/tex], [tex]b=11[/tex] and [tex]r=6[/tex].
Centre at [tex](a,b)[/tex] which is [tex](7,11)[/tex] .
