What Exactly is a Circum-Circle?

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The circumcircle of a triangle is the unique circle that passes through all three vertices of the triangle. It is the smallest circle that can encompass the entire triangle. This concept is distinct from the in-circle, which touches all three sides from the inside and is the largest circle that can fit within the triangle. Clarification on these definitions helps in understanding the geometric properties of triangles. The discussion highlights the importance of distinguishing between circumcircles and incircles.
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Hello,

can someone please tell me what's circum-circle?this thing is really confusing me?
 
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Hi samar! :smile:

The circumcircle of a triangle is the unique circle which goes through all three vertices.

Obviously, it is the smallest circle which can contain the whole triangle.

(Not to be confused with the in-circle, or inscribed circle, which is the unique circle whch touches all three sides of the triangle, from the inside, and which is the largest circle which can be contained inside the triangle.!)

For more information, see: http://en.wikipedia.org/wiki/Circumcircle#Circumcircles_of_triangles
 
Thanx tiny-tim...your information really helped me ..

thank you once again :)
 
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