Answer:
[tex](x+4)^2 + (y-9)^2 = 25[/tex]
Step-by-step explanation:
To write the equation of a circle, use the formula [tex](x-h)^2+(y-k)^2 = r^2[/tex] where the center of the circle is (h, k).
This means the equation is [tex](x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2[/tex].
Find the radius r by dividing the diameter of 10 in 2. The radius is 5.
So the equation of the circle is [tex](x+4)^2 + (y-9)^2 = 25[/tex]
