a.
The center of the circle will be the midpoint of the diameter's endpoints.
midpoint = ( average of the x's , average of the y's )
midpoint = ( \(\frac{-10+4}{2} , \frac{-2+6}{2}\) )
midpoint = ( -3 , 2 )
b.
The radius will be the distance from the midpoint to an endpoint of the diameter. We can use the distance formula to find this distance.
radius = \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
radius = \(\sqrt{(-3-(-10))^2+(2-(-2))^2}\)
radius = \(\sqrt{49+16}\)
radius = \(\sqrt{65}\)
c.
The equation of a circle is (x - h)2 + (y - k)2 = r2
Where ( h, k ) is the center point, and r is the radius.
Just plug in the center point and radius into the equation.
(x + 3)2 + (y - 2)2 = 65
!
Uh ok bye 
