Answer :

Let the circumcentre be (x,y)

As the circumcentre is equidistant from all the 3 points, we get

= .......i

And

....................ii

Squaring both sides of i and simplifying, we get

-2x-10y = -30

Squaring both sides of ii and simplifying, we get

10x + 2y = 46

Solving the above equations, we get

x =

y =

Radius of circumcircle is the distance between any point on the triangle and the circumcentre.

Radius = =

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