: Find the co-ordinates of the circumcentre of the triangle whose vertices are (3,0),(-1, -6) and (4, -1) . Also find its circumradius.

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let the coordinates of circumcenter O be x,y      
now using distance formula 
OA=OB=OC
​equate any two and solve or x and y
circumradius = OA=OB=OC
 
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