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Find the coordinates of the center of the circle.
The points on the circle are (22,15), (-25,0), (22,-29).

 Aug 18, 2024
 #1
avatar+37159 
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Each of these points is the same radius distance from the center to the point.....using distance formual for the first two points 

 

(x-22)^2 + (y-15)^2      =   ( x+25)^2 + (y-0)^2     reduces to 

-94x - 30y + 84 = 0 

 

 

For the last two points:

(x+25)^2 + y^2 = ( x-22)^2 + ( y+29)^2   reduces to 

94x-58y-700 = 0 

 

Add the two reduced equations to get 

-88y = 616

y = -7 

Now put this valueof 'y' into either of the reduced equations to find   

x = 3.12765

 

Center = ( 3.12765, -7) 

 

 Aug 18, 2024

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