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Is it true that every chord of a circle contains two points of the circle?
Wiki User
∙ 11y ago
well its true that every chord contains two points of the circumference of a circle 'cos a chord is the straight line between two points on the circumference
Wiki User
∙ 11y ago
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Is every chord of a circle also a diameter?
No. The chord is a diameter only if it passes through the center of the circle. In that case,it's also the longest that any chord can possibly be in that circle.
Every point on a circle is the same distance from what location?
The points are all the same distance from the center of the circle. The distance between the center and any point is the radius of the circle.
How do you divide a circle into three parts?
I assume that you want to divide it into three equal "pie slices".If you have the location of the center of the circle, and are allowed to use a protractor (or other angle-measuring device), then you draw a radial line segment from the center to the circle, then another radial line segment at a 120° and to the first radial line segment, and final radial line segment at a further 120° angle.If you have only the circle, a straight-edge, and a compass, then you must first locate the center of the circle. Draw two cords, Use the compass to construct bisecting perpendicular lines for each chord. These bisecting perpendicular lines will meet at the center of the circle.If you now draw a chord equal in length to the radius, and radial lines from each of its ends, then that gives you a "pie slice" that is one sixth of the circle! So if you draw a second chord where the first ends, you have a "pie slice" that is one third of the circle.So you could draw five chord, each the length of the radius, each starting where the previous ended, and draw radial lines through every second chord-end. Or you could use the first two chords to find the length of a chord which corresponded to a third of the circle.(Actually, you don't really have to draw any of these chords, you just need to mark their end-points as you go along.)
Can line segments have holes or missing pieces?
No it cannot because a line segment is a part of a line that is bounded by two end points, and contains every point on the line between its end points. If it has holes it does not contain every point between the end points.
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
Does every chord of a circle contain two points of the circle?
Yes, and the two points are located on the circumference of the circle
What is the name of the chord that is a diameter?
The diameter of a circle could also be called the longest chord in that circle.A chord is any straight line that connects two points on a curve. A circle has a near infinite number of chords that can be drawn between any two points around its circumference.Any chord that passes through the middle of the circle, making it the longest chord possible in the confines of the circle, is also known as the diameter of the circle.So, every diameter is a chord, but not every chord is a diameter.
How is a diameter a chord and a chord not a diameter?
Every chord is a line on the inside between two points on the circle. A diameter does that, so it's a chord. But in order to be a diameter, a chord also has to meet another requirement ... it has to go through the center of the circle. A lot of chords don't do that, so they can't be diameters.
What is 5 parts of a circle?
There are five parts of a circle. They are-1.Radius: It is the parts of the circle that be defined as the distance between the center of the cirlce and a point on the circle.2.Diameter: It is the parts of the circle that be defined as the distance between the two point on the circle which cross through the center of the circle. Note: Every diameter of a circle is a chord; however, not every chord is a diameter. Whether a chord passes through the center determines if it is or is not the diameter.3.Chord: It is the parts of the circle that be defined as the line whose end points are on the circle.4.Secant Line: This line intersects the circle exactly at two points.5.Tangent Line: This line intersects the circle on the point.Thus we can define parts of a circle.
Is every chord of a circle also a diameter?
No. The chord is a diameter only if it passes through the center of the circle. In that case,it's also the longest that any chord can possibly be in that circle.
Why is a diameter always a chord but every chord is not always a diameter?
a diameter is always a chord because a chord always goes from one point of the circle to the other and a a diameter goes from one point to the midpoint
What is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What is concyclic circle?
Every set of three points is Concyclic !
Is brocli a tuber?
A circle is a simple shape of Euclidean geometry consisting of those points in a plane which are the same distance from a given point called the center. The common distance of the points of a circle from its center is called its radius. A diameter is a line segment whose endpoints lie on the circle and which passes through the centre of the circle. The length of a diameter is twice the length of the radius. Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. In everyday use the term "circle" may be used interchangeably to refer to either the boundary of the figure (known as the perimeter) or to the whole figure including its interior, but in strict technical usage "circle" refers to the perimeter while the interior of the circle is called a disk. The circumference of a circle is the perimeter of the circle (especially when referring to its length). A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone. A chord of a circle is a line segment whose two endpoints lie on the circle. The diameter, passing through the circle's centre, is the the largest chord in a circle. A tangent to a circle is a straight line that touches the circle at a single point. A secant is an extended chord: a straight line cutting the circle at two points. An arc of a circle is any connected part of the circle's perimeter. A sector is a region bounded by two radii and an arc lying between the radii, and a segment is a region bounded by a chord and an arc lying between the chord's endpoints.The circle has been known since before the beginning of recorded history. It is the basis for the wheel which, with related inventions such as gears, makes much of modern civilization possible. In mathematics, the study of the circle has helped inspire the development of geometry and calculus. Early science, particularly geometry and astronomy/astrology, was connected to the divine for most medieval scholars, and many believed that there was something intrinsically "divine" or "perfect" that could be found in circles. Some highlights in the history of the circle are: * 1700 BC - The Rhind papyrus gives a method to find the area of a circular field. The result corresponds to 256/81 as an approximate value of π.[1] * 300 BC - Book 3 of Euclid's Elements deals with the properties of circles. * 1880 - Lindemann proves that π is transcendental, effectively settling the millennia-old problem of squaring the circle.[2]The circle is the shape with the largest area for a given length of perimeter. (See Isoperimetric inequality.) * The circle is a highly symmetric shape: every line through the center forms a line of reflection symmetry and it has rotational symmetry around the center for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T. * All circles are similar. * ** A circle's circumference and radius are proportional. ** The area enclosed and the square of its radius are proportional. ** *** The constants of proportionality are 2π and π, respectively. * The circle centered at the origin with radius 1 is called the unit circle. * ** Thought of as a great circle of the unit sphere, it becomes the Riemannian circle. * Through any three points, not all on the same line, there lies a unique circle. In Cartesian coordinates, it is possible to give explicit formulae for the coordinates of the center of the circle and the radius in terms of the coordinates of the three given points. See circumcircle. [edit] Chord properties * Chords are equidistant from the center of a circle if and only if they are equal in length. * The perpendicular bisector of a chord passes through the center of a circle; equivalent statements stemming from the uniqueness of the perpendicular bisector: * ** A perpendicular line from the center of a circle bisects the chord. ** The line segment (circular segment) through the center bisecting a chord is perpendicular to the chord. * If a central angle and an inscribed angle of a circle are subtended by the same chord and on the same side of the chord, then the central angle is twice the inscribed angle. * If two angles are inscribed on the same chord and on the same side of the chord, then they are equal. * If two angles are inscribed on the same chord and on opposite sides of the chord, then they are supplemental. * ** For a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle. * An inscribed angle subtended by a diameter is a right angle. * The diameter is the longest chord of the circle. [edit] Sagitta properties * The sagitta (also known as the versine) is a line segment drawn perpendicular to a chord, between the midpoint of that chord and the circumference of the circle. * Given the length y of a chord, and the length x of the sagitta See also: Power of a point * The chord theorem states that if two chords, CD and EB, intersect at A, then CA×DA = EA×BA. * If a tangent from an external point D meets the circle at C and a secant from the external point D meets the circle at G and E respectively, then DC2 = DG×DE. (Tangent-secant theorem.) * If two secants, DG and DE, also cut the circle at H and F respectively, then DH×DG = DF×DE. (Corollary of the tangent-secant theorem.) * The angle between a tangent and chord is equal to the subtended angle on the opposite side of the chord. (Tangent chord property.) * If the angle subtended by the chord at the center is 90 degrees then l = √2 × r, where l is the length of the chord and r is the radius of the circle. * If two secants are inscribed in the circle as shown at right, then the measurement of angle A is equal to one half the difference of the measurements of the enclosed arcs (DE and BC). This is the secant-secant theorem. *
Can a single point be contained in an infinite number of lines?
no it only has zero On the contrary, yes, it can. Well let's see. The center of a circle is contained in every diameter of the circle, and there are an infinite number of those, so I guess yes it can uh huh. And on a related note: One single line contains an infinite number of points. Until you cut it in half. Then each piece contains an infinite number of points.
Is every diameter a chord?
no
If 20 points are placed on a circle and every pair of points are joined with a line segment what is the total number of segments drawn?
twenty
