The circumcentre of a triangle is the point of intersection of the perpendicular bisectors of the sides of a triangle. Coordinates of O can be obtained from the equation.
OA2 =OB2 =OC2
If angles A,B,C and vertices A(x1 ,y1) , B(x2 ,y2) and C(x3 ,y3) of aΔABCare given; Then its circumcentre is given by
The circumcentre of a right-angled triangle is the mid-point of its hypotenuse. Therefore the mid-point of hypotenuse is equidstant from its vertices AM=BM=CM
The circumcentre of the triangle formed by (0,0), (x1 ,y1) and (x2 ,y2) is
