Equation of the circle is  .
.
Solution:
The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).
Center of the circle = Mid point of the diameter
Mid point formula:

Here, 



Center of the circle = (–6, –10)
Radius is the distance between center and any endpoint of the diameter.
To calculate the radius using distance formula.

Here, 



 units
 units
The standard form of the equation of a circle is
 , where (a, b) are center and r is the radius.
, where (a, b) are center and r is the radius.
Here, center = (–6, –10) and  
 


Equation of the circle is  .
.