1. A circle passing through the vertices of the triangle is called the circumcircle of a triangle.
2. Circumcentre can be obtained by drawing perpendicular bisectors of any two sides of a triangle.
3. The point of intersection of the perpendicular bisectors is called
circumcentre and it is equidistant from the vertices of the triangle.
The position of circumcentre depends upon the type of a triangle.
(i) If the triangle is an obtuse angled triangle, the circumcentre lies outside the triangle.
(ii) If the triangle is an acute angled triangle, the circumcentre lies inside the triangle.
(iii) If the triangle is a right angled triangle, the circumcentre lies on the midpoint of the hypotenuse.