Question

Find the coordinates of the circum centre of a triangle whose vertices are
A(4,6), B(0,4)and C(6,2) Also find its circum radius.​

Answer 1

$circumcentre = \frac{x1 + x2 + x3}{3} \: \: \: \: \: \: \: \frac{y1 + y2 + y3}{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4 + 0 + 6}{3} \: \: \: \: \: \: \: \: \: \: \: \frac{6 + 4 + 2 }{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{10}{3} \: \: \: \: \: \: 4$

THE CIRCUMCENTRE IS (10 /3 , 4)

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