Answer:
![(x-5)^2+(y-2)^2=9\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/oc6f8x151baidz2gveq0bfci6yirlc66kh.png)
Explanation:
So, you basically want the equation of the circle.
Given:
Center(C):
![C(5, 2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qm899rf1161ztr77asbdb7pqwg29thmr91.png)
![r=3](https://img.qammunity.org/2021/formulas/mathematics/college/ry67ig568hsc3i50lypfasz6h6ijareacp.png)
The equation of circle is:
![(x-h)^2+(y-k)^2=r^2\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ohjibrkzbbwhcue29e3ebayqy318a3lr91.png)
Where,
represents the center point and
is the radius of the circle.
Plotting the values in the equation:
![(x-5)^2+(y-2)^2=3^2\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xdzbsewiifonuygqkun9gir3s3wsajx6x9.png)
![(x-5)^2+(y-2)^2=9\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/oc6f8x151baidz2gveq0bfci6yirlc66kh.png)
This is the equation of the circle of center (5, 2) and radius 3.