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Assume that two chords in a given circle are the same distance from the center of the circle Which of the following must also be true?
They must be congruent.
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
If the radius the radius of a circle is 38 cm what is the length of its diameter and how?
The radius is the distance from the center of a circle to one edge. The diameter of a circle is the distance from one side to the other that must cross the center of the circle. The diameter is 2 times the radius. Dia = 2R therefore, 2*38 cm = 76 cm
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 circle's center must be placed at the circumcenter of the triangle?
False
Assume that two chords in a given circle are the same distance from the center of the circle Which of the following must also be true?
They must be congruent.
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
If the radius the radius of a circle is 38 cm what is the length of its diameter and how?
The radius is the distance from the center of a circle to one edge. The diameter of a circle is the distance from one side to the other that must cross the center of the circle. The diameter is 2 times the radius. Dia = 2R therefore, 2*38 cm = 76 cm
Define radius of a circle?
In order to fully understand what the radius of a given circle is, you must know the diameter. The diameter is the distance across the circle through the center. The radius of a circle is half the diameter. For example, if the diameter of a circle is 8 inches, then the radius would be 4 inches.
In order to inscribe a circle in a triangle the circle must be placed at the in center of a triangle?
That is correct
In order to inscribe a circle in a triangle the circle's center must be placed at the circumcenter of the triangle?
False
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 circle's center must be placed at the incenter of the triangle?
That is correct
Can the diameter of a circle pass through the center of a circle?
A diameter of a circle must pass through the center of that circle. A cord is a line segment that has its endpoints on the circumference of a circle. It can be any line segment. If that cord also passes through the center of the circle, it is said to be a diameter of that circle. A diameter of a circle is the longest cord of the circle.
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.
In a circle the perpendicular bisector of a chord must pass through the center of the circle?
Yes, in a circle, the perpendicular bisector of a chord does indeed pass through the center of the circle. This is because the perpendicular bisector of a chord divides it into two equal segments and is equidistant from the endpoints of the chord. Since the center of the circle is the point that is equidistant from all points on the circle, it must lie on the perpendicular bisector. Thus, any chord's perpendicular bisector will always intersect the center of the circle.
In order to circumscribe a circle in a triangle the circle's center must be placed at the center of the triangle?
Yes, but which centre: the centroid, incentre or orthocentre? You need the incentre.
