Answer:
[tex](x+8)^{2}+(y-14)^{2}=19[/tex]
Step-by-step explanation:
The equation of a circle is: [tex](x-x_1)^{2}+(y-y_1)^{2}=r^2[/tex] , where x_1 is the x coordinate of the center, y_1 is the y coordinate of the center, and r is the radius.
In this case, x_1 = -8, y_1 = 14, and r = 4.3589. Plugging these into the equation, we get:
[tex](x+8)^{2}+(y-14)^{2}=4.3589^2[/tex]
If you want, you can round 4.3589^2 to 19.
Then, the answer would be: [tex](x+8)^{2}+(y-14)^{2}=19[/tex] .
Hope this helps!
