Question

Find the coordinates of the circumcenter of the triangle whose vertices are (3, 0), (-1, - 6) and (4,-1). Also, find its circumradius.

Answer 1

Let A(3, 0), B(-1, - 6) and C(4,-1) be the given points.

Let O(x,y) be the circumcenter of the triangle

Again,

Solving (1) and (2), we get

x =1, y = -3

Hence circumcenter of the triangle is (1,-3)