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Is the center of the circumscribed circle about a triangle is equal distance to the vertices of the inscribed triangle?
Yes, the center of the circumscribed circle (circumcenter) of a triangle is equidistant from all three vertices of the triangle. This property holds true because the circumcenter is defined as the point where the perpendicular bisectors of the sides of the triangle intersect. Consequently, each vertex of the triangle lies on the circumference of the circumscribed circle, maintaining equal distances from the circumcenter to each vertex.
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The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circle's radius?
True
Whhat is the difference between an inscribed and an circumscribed shape?
Inscribed has the vertices n the circle.Circumscribed has the sides tangent to the circle.
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
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
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.
The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circle's radius?
True
Is the shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius?
True
The center of the circumscribed circle about a triangle is equidistant to the vertices of the inscribed triangle?
true
The shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius?
False apex q
Whhat is the difference between an inscribed and an circumscribed shape?
Inscribed has the vertices n the circle.Circumscribed has the sides tangent to the circle.
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
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
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.
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
How is the inscribed circle and circumscribed circle alike?
The inscribed circle and circumscribed circle of a polygon are alike in that both are defined relative to the polygon's vertices and sides. The inscribed circle, or incircle, touches each side of the polygon at one point, while the circumscribed circle, or circumcircle, passes through all the vertices. Both circles are essential in understanding the geometric properties of the polygon and are centered around the same point in regular polygons. Additionally, they are crucial for calculating various measurements, such as area and radius.
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 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.
