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.

The longest chord in a circle is the diameter

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The longest chord in a circle is the diameter

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. The longest chord in a circle is the diameter of the circle. The perpendicular from the centre of a circle to a chord bisects the chord splits the chord into two equal parts. In the diagram above, AB is a chord and CE is a radius. An angle within a circle is created by two chords meeting at a point on the circumference. The diagrams below show the inscribed angle subtended by arc AC from point B for two different circles.

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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.

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