Answer:
Step-by-step explanation:
A]
The center is the average values of the 2 endpoints (which is also the diameter).
x:(-10 + 4)/2 = -6/2 = -3
y:(-2 + 6)/2 = 4/2 = 2
Center(-3,2)
B]
The radius is the distance from the center to one of the end points.
r^2 = (-3 - 4)^2 + (2 - 6)^2
r^2 = (-7)^2 + (-4)^2
r^2 = 49 + 16
r^2 = 65
r = sqrt(65)
C]
(x + 3)^2 + (y - 2)^2 = 65
Graph
The graph has been included so that you can see that the center I have calculated is between (-10,-2) and (4,6)
Further, it shows the the circle goes the two end points of the diameter.
