SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
The equation of a circle is given as :

comparing with the given equation:

we have that:
![\begin{gathered} \text{Centre ( a, b ) = ( -5, 4)} \\ and\text{ } \\ \text{Radius = }\sqrt[]{9}=\text{ 3} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3soe9ace23piormaajzhiojjz8e2tm44ql.png)
CONCLUSION:
From the detailed explanation, we can see that the correct answer is:
