Answer:
(x - 4)^2 + (y + 3)^2= 6.25
Step-by-step explanation:
To solve this problem, we need to remember the formula to find the equation of a circle of radius r and center in (h,k): \((x-h)^{2} +(y-k)^{2} = r^{2}\)
Now we need to substitute the values given in the problem.
We have r = 2.5, h = 4, r = -3
\((x-h)^{2} +(y-k)^{2} = r^{2}\\(x-4)^{2} +(y-(-3))^{2}=2.5^{2} \\(x-4)^{2}+(y+3)^{2} =6.25\)
Therefore, the correct option would be B)
