Question 551180
Use the Midpoint Formula to find the circle's center. The Midpoint Formula is ((x1+x2)/2, (y1+y2)/2) or (average of the x-coordinates, average of the y-coordinates). The average of the x-coordinates is h, and the average of the y-coordinates is k.


h = (-2 + 4)/2


h = 2/2 


h = 1


k = (-3 + 5)/2


k = 2/2


k = 1

This circle is centered at the point (1,1).

We now find the distance from one of the given points and the center point (1,1).


The radius is 5.


We now plug into the general equation of the circle formula.


(x - 1)^2 + (y - 1)^2 = (5)^2

 
(x - 1)^2 + (y - 1)^2 = 25

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