Incenter
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In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides.The center of the incircle is called the triangle's incenter.The center of the incircle can be found as the intersection of the three internal angle bisectors.You draw three lines. Each line from one triangle head point to the opposite triangle side and bisecting the angle. These three lines will intersect in one point which is the circle center.
The incenter is the center of the incircle for a polygon or insphere for a polyhedron (when they exist). The corresponding radius of the incircle or insphere is known as the inradius. The incenter can be constructed as the intersection of angle bisectors. It is also the interior point for which distances to the sides of the triangle are equal. It hastrilinear coordinates
No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
It is the largest circle that can be drawn so that it is entirely inside a polygon. In the case of a triangle, its centre is the point where the bisectors of the angles of the triangle meet.
the center of a circumscribed circle is called the focus.