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Q: Given Circle D find the length of segment DB if the measure of segment DE 25 units and the measure of segment BC 24 units?
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How do you construct a circle that has radius with an equal length to the given line segment?

Adjust the compass to the given line segment then construct the circle.


Did all radii of a given circle are equal in length is this correct explain?

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.


How do you find the length of a segment when given the endpoint and midpoint?

double the length


Is it true that a circle is determined if a given segment is its diameter?

Yes. The center is the mid-point of the segment, and that's all you need to uniquely define a circle.


True or false if a segment with a length of 1 unit is given a constructible number is the length of a segment that can be constructed with a compass and straightedge?

True


What name is given to any line segment that connects the center to a point on a circle?

That's a radius of the circle.


How do you find the radius given the chord length?

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.


What name is given to a line segment with endpoints on 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.


What is the diameter of a circle with 225 pi cm?

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.


What name you given to any line segment that connects two points on a circle?

a diameter


Can constructing a circle with a radius from a given line segment be accomplished by paper folding?

No, it cannot.


How do you find the area of a circle when the radius is unknown?

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.