The longest chord in a circle is the diameter

Chord:- The line segment which is formed by joining any two points present on the circle is called a chord of the circle. Diameter: The longest chord which passes through the center of the circle is called the diameter of the circle. Last updated on Jul 4, The exam is scheduled to be conducted from 8th July to 11th July

Indeed why? Why a diameter is the longest chord in a circle? I sometimes heard and several times read at popular math sites that the reason why a diameter is the longest chord is that a diameter passes through the center of the circle. While that is true that passing through the center has something to do with the length of a chord, the answer, as given, is vacuous. Since the definition of a diameter is a chord passing through the center of the circle, such an explanation actually reads: "The diameter is the longest chord in a circle because it is a diameter of the circle. Let's recollect the definitions :. A segment of a straight line joining two points on a circle is called a chord ; a chord that passes through the center of the circle is called a diameter.

The longest chord in a circle is the diameter

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The chord of a circle is defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle that passes through the center of the circle. A line segment that joins two points on the circumference of the circle is defined as the chord of the circle. Among the other line segments that can be drawn in a circle, the chord is one whose endpoints lie on the circumference. Observe the following circle to identify the chord PQ.

The longest chord in a circle is the diameter

Welcome to another exciting journey with Brighterly , where we explore the fascinating world of geometry. In the following sections, we will unfold the definitions, properties, and special characteristics of chords in a circle. A chord of a circle is a straight line that connects two points on the circumference of the circle. Just like the spokes of a bicycle wheel, chords can take various lengths and angles. But how does this fascinating geometrical concept relate to the basic definitions of circles and chords? And what makes some chords so special?

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AAI Junior Executive. Maharashtra Agriculture Assistant. MP Police SI. NFL MT. CWC Assistant Engineer. IB Security Assistant. Gujarat TET Exam. Let's recollect the definitions : A segment of a straight line joining two points on a circle is called a chord ; a chord that passes through the center of the circle is called a diameter. Nainital Bank Clerk. NCL Staff Nurse. Railways Exams.

Indeed why?

Odisha Forest Guard. CTU Conductor. BHU Staff Nurse. DMRC Maintainer. Delhi Police Constable. Gujarat TET Exam. Rajasthan Home Guard. BSF Tradesman. India Post Mail Guard. Incidentally, Euclid proved that statement in the third book of his Elements as a more informative Proposition XV : Of straight lines in a circle the diameter is greatest, and of the rest the nearer to the center is always greater than the more remote. SBI PO.