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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.
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 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
No, it cannot.
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.