The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
Three
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
No. Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing to do with a triangle. Having said that, a circle can be drawn from the circumcentre of any triangle so that it passes through the vertices of the triangle.
equidistant from the vertices
The circumscribing circle.
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
Three
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
No. Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing to do with a triangle. Having said that, a circle can be drawn from the circumcentre of any triangle so that it passes through the vertices of the triangle.
equidistant from the vertices
This is true, by definition. Assume that there is a circle that passes through each vertex of a triangle. Then its centre, which we may call the circumcentre of the triangle, must be at an equal distance from each of the vertices because all of the points of the circle are at the same distance from this point.
It has at least two radii, the radius of the circle going through the vertices and the radius of the inscribed circle touching all the sides.
triangle
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
true