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Adjust the compass to the given line segment then construct the circle.
The name is "chord".If the line segment happens to go through the center of the circle, thenit is also given the additional name "diameter", and no other chord in thesame circle can be longer than that one is.
a diameter
No, it cannot.
The longest chord in a circle is its diameter and halve of this is its radius.
Adjust the compass to the given line segment then construct the circle.
The answer depends on where the other end of the line segment is. If it is on the circumference the segment is a radius. Otherwise, it is indeterminate.
Yes, all radii of a given circle have the same length. A circle is defined as all the points on a plane that have a specified distance from a given point, called the center. Any segment from the center to the circle is called a radius (plural radii). Thus, by definition, all such segments (all radii) have the same length.
double the length
Yes. The center is the mid-point of the segment, and that's all you need to uniquely define a circle.
True
That's a radius of the circle.
If you are given a chord length of a circle, unless you are given more information about the chord, you can not determine what the radius of the circle will be. This is because the chord length in a circle can vary from a length of (essentially) 0, up to a length of double the radius (the diameter). The best you can say about the radius if given the chord length, is that the length of the radius is at least as long has half half the chord length.
The name is "chord".If the line segment happens to go through the center of the circle, thenit is also given the additional name "diameter", and no other chord in thesame circle can be longer than that one is.
The radius of a circle is the distance from the center of the circle to any point on its circumference. If the radius of a circle is given as 26.4 cm, then that means the distance from the center to the edge of the circle is 26.4 cm. This measurement is constant for any point on the circle, as all points on the circumference are equidistant from the center.
The given measure, 225*pi cm is a linear measure so it cannot refer to the area. It could refer to the radius or the circumference of the circles, or the length of an arc or a segment of the circle. It could, of course refer to something else, but then the task of finding the diameter is near impossible. If it is the length of an arc or a segment, you require further information. Since that is not provided, perhaps one can assume that the measure does not refer to either. That leaves the radius or the circumference. If the radius is 225*pi then the diameter is simply 2*radius = 450*pi cm. If the circumference is 225*pi, then the diameter is circumference/pi = 225 cm.
a diameter