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.

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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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.

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.

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Geometry is the major part of mathematics that deals with lines, angles, points, etc. They are the visual study of shapes and sizes.

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