Answer:

Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula : 

Substitute the values in formula


So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :




Length of radius = r = 
Standard form of the equation of the circle : 
(h,k )=(-1,3.5)

Equation of the circle : 
Equation of the circle : 
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is 