Answer:
r=17.0
Step-by-step explanation:
In a circle with center (h,k) and any point (x,y) on the circle, the radius of the circle is given as:
[tex](x -h)^2 + (y - k)^2 =r^2[/tex]
Center (h,k)=(-6,1)
(x,y)=(7,12)
[tex]r^2=(x -h)^2 + (y - k)^2 \\r^2=(7 -(-6))^2 + (12 - 1)^2\\r^2=(7 +6)^2 + 11^2\\r^2=13^2 + 11^2=169+121=290\\r=\sqrt{290}=17.03[/tex]
radius, r=17.0 (to the nearest tenth)
