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Q: Two chords that are the same distance from the center of a circle must be?
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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


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.


What is the distance around the outside of the circle of water in terms of pi?

First off, what you appear to be asking for is the circumference, the length of area around a circle(or in this case, a body of water). To find the circumference, measure for the diameter, the diameter is the length of one side of a circle to another, this distance must go through the center of the circle. All you have to do is multyply the Diameter by pi.


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.


Does every great circle of a sphere have to pass through its center?

Let's be very careful here: The "great circle" of a sphere is a circle that lies on the surface ofthe sphere, so there's no way the great circle can "pass through" the sphere's center.However, in order for the circle to be a "great circle", its center must be the center of the sphere.