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The circumcenter of the triangle.
incenter
It is called incenter
Well, honey, a circle inside a triangle is usually a symbol used in geometry to represent the incenter of the triangle. The incenter is the point where the angle bisectors of the triangle intersect. So basically, it's just a fancy way of saying the center of the circle is equidistant from all three sides of the triangle. Hope that clears things up for ya!
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
That is the definition of the incenter; it is the center of the inscribed circle.
It is the center of the circle that is inscribed in the triangle.
incenter
If a circle is inscribed in a triangle, the center of the circle is called the incenter. The incenter is the point where the angle bisectors of the triangle intersect, and it is equidistant from all three sides of the triangle. This point serves as the center of the inscribed circle, known as the incircle.
The circumcenter of the triangle.
Incenter (apex)
incenter
This statement is incorrect. To circumscribe a circle around a triangle, the circle's center must be located at the circumcenter, not the incenter. The circumcenter is the point where the perpendicular bisectors of the triangle's sides intersect, while the incenter is the point where the angle bisectors meet and is the center of the triangle's inscribed circle.
True, the definition of incenter is the point forming the origin of a circle within a triangle.Hopefully this helps :)
It is called incenter
The shortest distance from the center of the inscribed circle (the incenter) to the sides of a triangle is equal to the radius of the inscribed circle, known as the inradius. This distance is perpendicular to the sides of the triangle. The inradius can be calculated using the triangle's area and its semi-perimeter. Thus, the incenter serves as the point from which the shortest distances to each side are measured.
Of course not! There are an infinite number of smaller circles.