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answered

 May 14, 2020
edited by Guest  May 14, 2020
 #1
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Due to time constraints  (I'm answering a LOT of questions)....I'll provide the set up  and let Wolframalpha  do some magic   [ if I have time later, I'll go through the process of finding the center]

 

Let the center be (a,b)

We have this system of equations

 

(2-a)^2 + (-5-b)^2  =  (a-7)^2  + ( -5-b)^2

(2-a)^2 + (-5 -b)^2  = (a-6)^2 + (b-1)^2

(a - 7)^2 +(-5-b)^2  = (a -6)^2 + (b - 1)^2 

 

The center (by WolframAlpha)  is  (9/2 , -7/3)

 

The radius^2  =  ( 6-9/2)^2 + (-7/3 - 1)^2  = 481/36

 

radius  = sqrt (481) / 6

 

The equation of the circumcircle is

 

(x - 9/2)^2 + ( y + 7/3)^2 = 481/36

 

 

cool cool cool

 May 14, 2020

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