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,

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 :.

The longest chord in a circle is the diameter

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What is the height of the pole? Telangana Police SI. Chord:- The line segment which is formed by joining any two points present on the circle is called a chord of the circle.

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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?

The longest chord in a circle is the diameter

Home » Geometry » Circle » Chord of a Circle. The chord of a circle is a straight line joining two points on the circumference of the circle. The diameter that passes through the center of the circle is the longest chord of the circle. AB is also the diameter, so it is the longest chord of the given circle. There are two basic formulas to find the length of the chord of a circle. Both the formulas give the same result but are used based on the information provided. Let us discuss each of them in detail with solved examples.

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Here we will learn about circle theorems involving chords of a circle , including its application, proof, and using it to solve more difficult problems. The chord of a circle is a straight line that connects two points on the circumference of a circle.

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