Answer:

Explanation:
First find the midpoint of the segment from (2, -6) to (-4, -16)
((2 - 4)/2, (-6 - 16)/2)
(-2/2, -22/2)
(-1, -11) is the midpoint and is the center of the circle
Now find the distance between the 2 given points and divide by 2 to get the radius of the circle
d =

=

=

=

r =
/2
= 136/4 = 34
Equation of circle with center at (-1, -11) and radius =
is
