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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.

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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?

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What is the circumcenter of a triangle?

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What is the relationship between a triangle and chords in geometry?

In geometry, a chord is a line segment that connects two points on a circle. In a triangle, chords can be drawn connecting the vertices of the triangle to create a circumscribed circle that passes through all three vertices. This circle is called the circumcircle of the triangle.


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.


A polygon whose vertices lie on a circle?

triangle


Does a triangle have a radius?

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The center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle?

true