Chord of a circle definition and its properties

Learn what is a chord of a circle and how to represent it. First, we will start learning about circle definition. After that, we will learn the definition of the chord of a circle and its properties.

Chord of a circle definition and its properties

How to define a circle? We can give the definition as “locus of all those points which are at a fixed or constant distance from a fixed point is called as circle”. We call fixed distance as radius and fixed point as a centre of circle.

The Definition of the chord of a circle:

The Chord of a circle is defined as “the line segment joining any two points on the circumference of a circle”.

Chord of a circle definition and its properties

In the above diagram, we have represented three chords i.e. AD, BE and CF.

Note:

The chord of a circle which is passing through the centre of a circle is called diameter of a circle and it is the longest chord of the circle.

Important properties of the chord of a circle:

→The chords which are closer to the centre of a circle will be greater in length.

Chord of a circle definition and its properties

In the above circle, we have three chords i.e. PQ, AB and CD. Out of these chords closer to the centre is PQ so we say it is the greatest chord when compare to AB and CD chords.

→The chords which are in equal distances from the centre are equal in length.

Chord of a circle definition and its properties

We can observe clearly that the Chords CD and PQ are at a distance of 5 cm from the centre of the circle. As both of the chords are at equal distances from the centre. So these two chords will be equal in length.

Chord CD = Chord PQ

→The chord which is passing through the centre of a circle divides the circle into two equal halves. Each of these two equal halves is called as a semi circle.

→The Perpendicular which is drawn from the centre of circle will bisects the chord i.e. perpendicular divides chord into two equal parts.

Hope the above chord properties are clear to you.

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