Find the coordinate of circumcenter of the $△ A B C$ whose vertices are $A (1, - 2), B (2, 3)$ & $C (- 1, 4)$ .

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Solution

Circumcenter is given as
$(\frac{x_{1} + x_{2} + x_{3}}{3}, \frac{y_{1} + y_{2} + y_{3}}{3}) (\frac{1 + 2 - 1}{3}, \frac{- 2 + 3 + 4}{3}) (\frac{2}{3}, \frac{5}{3})$

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Find the coordinates of the circumcenter of a triangle whose vertices are (8, 6), (8, – 2) and (2, – 2). What is the circumradius of this triangle?

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