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In order to circumscribe a circle about a triangle the circle's center must be placed at the incenter of the triangle.?
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.
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
The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circles radius?
FALSE
The INCENTER of a triangle is the center of the only circle that can be inscribed inside it?
Of course not! There are an infinite number of smaller circles.
The circle's center must be placed at the incenter of the triangle?
No, there are two circles (incircle, circumcircle) associated with triangles and in general the locations of their centres are different.
Is it true or false that in order to circumscribe a circle about a triangle the circles center must be placed at the in-center of the triangle?
It is FALSE.
How do you circumscribe a circle about a triangle?
From the center
In order to circumscribe a circle in a triangle the circle's center must be placed at the incenter of the triangle?
False!
In order to inscribe a circle in a triangle the circles center must be placed at the circumcenter of the triangle?
No.
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
In order to inscribe a circle in triangle the circles center must be placed at the incenter of the triangle?
That is correct
The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circles radius?
FALSE
Is the shortest distance from the center of the circumscribed circle to the vertices of the inscribed triangle is the circles radius?
True
The INCENTER of a triangle is the center of the only circle that can be inscribed inside it?
Of course not! There are an infinite number of smaller circles.
Is the shortest distance from the center of the inscribed circle to the triangle sides is the circles?
It is its inradius.
How many circumscribed circles can a triangle have?
A triangle has exactly one circumscribed circle.
If a circle is inscribed in a triangle the center of the circle is called the what of the triangle?
The circumcenter of the triangle.
