Circumcircle and Circumradius of the triangle
The intersection point of the perpendicular bisectors of the sides of a triangle is called its Circumcenter. The distance of all the vertices of a triangle from its Circumcenter is equal and the line joining the circumcenter to any of the vertices is called its Circumradius. The circumcenter is the center of the circumscribed circle (Circumcircle) of the triangle.
Let a △ABC in which BC=a, AC=b, and AB=c. The length of its semi-perimeter is ‘s’ and its area is represented by △.
The length of Circumradius (R)=(abc)/4△
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The length of the Circumradius of a Right Angle Triangle
The circumcenter of a Right angle triangle lies at the mid-point of its Hypotenuse so the hypotenuse act as the diameter of the circumcircle.
AO=OC=OB
Here, OB is one of the Medians of ∆ABC.
Now, The length of the Circumradius (R)=h/2
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