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What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
The set points in space that are a given distance from a given point is?
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
What is the set of points in a plane that are equidistant from a given point known as the center?
circle
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side so that the line segment is perpendicular to the line?
The description given fits that of a right angle triangle
A line segment with one endpoint at the center of a circle?
This is the radius of the circle. It connects the center of the circle to any point on the circumference. The length of the radius is constant for a given circle.
What name you given to any line segment that connects two points on a circle?
a diameter
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.
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.
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.
If the radius of a circle is 10 inches what is the diameter?
The radius is half the diameter. The diameter is twice the radius. If the radius is 10 inches, the diameter is twice that, or 20 inches. The radius is any straight line that connects a point on the circle with it's center. The diameter is a line segment that connects two points on a cirle throught the center of the circle.Answer:Let r be the radius of the circle and d be the diameter of the circle. We know that the diameter = 2 * radius of the circle. Given the radius r = 10 inches. Diameter d = 2 * 10 Diameter = 20 inches.
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.
What is the set of all points in a plane that are a given distance from a given point?
That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.
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?
7
Can constructing a circle with a radius from a given line segment be accomplished by paper folding?
No, it cannot.
What is an arc central angle and radius of the circle?
Radius: A line from the center of a circle to a point on the circle. Central Angle: The angle subtended at the center of a circle by two given points on the circle.
What is a line that connects a point on a circle to the center of a circle?
The RADIUS. Other nomenclature for a circle are:- Diameter ; Two radii forming a straight line through the circle centre. Chord ; A straight line from one point on the circle to another point on the circle that does NOT pass through the circle centre. Arc ; Part of the circumference. Segment ; An area inside the circle bounded by two radii and an arc. Tangent ' A line just touching the circle's circumference in ONE place. NB The plural of the noun 'Radius' is 'RADII' , not radiuses. 'Radii' is pronounced 'Ray- dee - eye'. NNB 'pi' is the Classical Greek small case letter 'p' , for 'proportion. It is an Irrational number, but for elementary(school) purposes it is given as the approximation '3.14' or '22/7' Being an Irrational number means the decimals are NOT in any regular order and go to infinity. pi ~ 3.141592.....
