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What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
Wiki User
∙ 9y ago
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.
Wiki User
∙ 9y ago
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What is a circumcircle of a triangle?
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
Is a circle can be drawn from the circumvention around a triangle intersecting the 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.
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
What is a circle which passes through all the vertices of a triangle?
The circumscribing circle.
The circumcenter of a triangle is the center of the circle inscribed in the triangle?
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
What is a circumcircle of a triangle?
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
Is a circle can be drawn from the circumvention around a triangle intersecting the 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.
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
The circumcenter of a triangle is equidistant from the three vertices of the triangle?
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.
Does a triangle have a radius?
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.
A polygon whose vertices lie on a circle?
triangle
What is the center of a circumscribed cirlce of a triangle called?
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
The center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle?
true
