AB and CD are two equal chords of a circle. If chord AB is at a distance of 4 cm from the centre, then the distance of chord CD from the centre is

2 cm

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3 cm

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4 cm

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6 cm

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Solution

The correct option is C
4 cm

We know that equal chords are at equal distances from the centre of the circle.
Given, AB and CD are two equal chords and that AB is at a distance of 4 cm from the centre.
Hence, CD must also be at a distance of 4 cm from the centre.

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Similar questions

In the following figure, if the chords AB and CD are equal to 6cm, then find the distance of the chords AB and CD from the centre of the circle of radius 5 cm.

Q. Two chords

A B

and

C D

of a circle are each at distances

4 c m

from the centre Then find

A B - C D

Q. Two equal chords,

A B

and

C D

are at a distance of 10 cm from each other. The distance of chord

A B

from the centre .

If each of two chords, $A B$ and $C D$ , of a circle are at a distance of 4 cm from the centre, then $A B = C D$ .

Q. Question 1
Write True or False and justify your answer :

Two chords AB and CD of a circle are each at a distance of 4 cm from the centre, then AB = CD.

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AB and CD are two equal chords of a circle. If chord AB is at a distance of 4 cm from the centre, then the distance of chord CD from the centre is

The correct option is C 4 cm We know that equal chords are at equal distances from the centre of the circle. Given, AB and CD are two equal chords and that AB is at a distance of 4 cm from the centre. Hence, CD must also be at a distance of 4 cm from the centre.

The correct option is C
4 cm

We know that equal chords are at equal distances from the centre of the circle.
Given, AB and CD are two equal chords and that AB is at a distance of 4 cm from the centre.
Hence, CD must also be at a distance of 4 cm from the centre.