Answer:
Equation of the circle is : 
Step-by-step explanation:
Let us consider the image attached in the answer area.
The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.
We know that radius is half of diameter.


The equation for circle given the center and radius, can be represented as:

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.
Let us consider the following formula:


Hence, Equation of the circle is : 