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| Theorem 2 |
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| "The point of concurrency of the bisectors of the sides of a triangle is called the circumcentre". It is abbreviated as 'S'. |
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To determine the circumcentre of a triangle, it is just sufficient to find the point of intersection of any two perpendicular bisectors of the sides of a triangle. The third  bisector is bound to pass through it by virtue of the following theorem. |
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| The perpendicular bisectors of the sides of a triangle pass through the same point. |
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| In the above theorem, we have proved that OA = OB = OC. That is, if a circle with `O' as centre and radius = OA (or OB or OC) is drawn, this circle will pass through the vertices. A, B, C of the triangle. This circle is called the circumcircle, the centre of circumcircle is called the circumcentre and the radius of circum circle as called the circum radius. |
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