Answer:
radius of the circle is 10.8
Step-by-step explanation:
The equation of a circle is [tex](x-9)^2+(y-12)^2=116[/tex]
the standard form of equation of a circle is
[tex](x-h)^2 +(y-k)^2 = r^2[/tex]
where 'r' is the radius of the circle and the center is (h,k)
From the given equation , the value of r^2 is 116
[tex]r^2=116[/tex]
To find out 'r' , take square root on both sides
[tex]\sqrt{r^2} =\sqrt{116}[/tex]
To find square root use calculator
[tex]r=10.8[/tex]
so radius of the circle is 10.8
