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What is the Formula for calculating chord length?
Assume you mean the chord of a circle? If the angle between the two radii from the ends of the chord is A, and the radius of the circle is R, the chord length L will be L = 2RsinA/2. You can prove this easily by joining the point bisecting the chord to the centre, you then have two rightangled triangles, with an included angle of A/2, and an opposite side of L/2. So sinA/2 = L/2R.
What is the measure of an arc intercepted by an angle formed by a tangent and a chord drawn from the point of tangency if the angle measures 40 degrees?
150
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
What is the shortest chord of a circle?
A point.
Can a chord be in the middle of a circle?
Not sure what you mean by "in the middle of a circle". A chord must have each of its ends on the circumference of the circle. If a chord is such that is passes through the centre point of the circle, it is (the longest chord possible and is) called a diameter. Or to put it another way, a diameter of a circle is a chord which passes through the centre point of the circle.
What is the Formula for calculating chord length?
Assume you mean the chord of a circle? If the angle between the two radii from the ends of the chord is A, and the radius of the circle is R, the chord length L will be L = 2RsinA/2. You can prove this easily by joining the point bisecting the chord to the centre, you then have two rightangled triangles, with an included angle of A/2, and an opposite side of L/2. So sinA/2 = L/2R.
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 the angle subtended by the circumference of a circle at its centre?
It is 360 degrees because angles around a point add up to 360 degrees
What is the measure of an arc intercepted by an angle formed by a tangent and a chord drawn from the point of tangency if the angle measures 40 degrees?
150
What is the measure of an arc intercepted by an angle formed by a tangent and a chord drawn from the point of tangency if the angle measures 40?
4/9*pi*r where r is the radius of the circle.
What defines a chord in geometry?
A chord is a straight line that extends from one point of the circumference of a circle to another point on the circumference and the diameter of a circle is its largest chord
If a radius of a circle is perpendicular to a chord at what point does it intersect the chord?
The radius of the circle that is perpendicular to a chord intersects the chord at its midpoint, so it is said to bisect the chord.
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 the chord of a circle that is always smaller?
There is no chord that is always smaller since, in the limit, the chord reaches a single point on the circumference - when it it is no longer a chord!
Low angle view?
this term is often confused with angle of field and field of view. The angle of view is the (diagonal) angle subtended by the scene captured in the photograph. This establishes the disc of best definition required for the lens. The angle of field is the angle subtended at the lens rear nodal point by the diagonal of the format itself. In a rectilinear image this is the same as the angle of view, but not for anamorphic images such as those produced by fisheye lenses. 'Field of view' simply describes the area covered in a scene. For example, although the angle of view of a fisheye lens is 180 degrees, its angle of field may be as low as 90 degrees. The field of view may be described as 'horizon to horizon'. For a standard (prime) lens the angle of field is typically 50-55 degrees, the same as the angle of view, and the field of view is roughly the same as that of the eye in a normal viewing of a scene or a picture.
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. *
Is a point the chord of a circle?
No, it is not. A chord is a line segment. It cannot have a length of zero. A point has no dimensions. The chord of a circle is a line segment that has its endpoints (both of them) on the curve (or circumference) of the circle.
