Home
Class 9
MATHS
The lengths of two parallel chords of a...

The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at distance 4 cm from the centre, what is the distance of the other chord from the centre?

A

`5 cm`

B

`3 cm`

C

`2 cm`

D

`4 cm`

Text Solution

Verified by Experts

The correct Answer is:
B

let r be the radius of the circle
draw ` OM _|_ AB & OL _|_ CD`
`AM = (AB)/2 & CL = (CD)/2`
`AM = 6/2 & CL = 8/2`
`AM = 3cm & CL = 4cm `
`MO = 4cm`
in `/_ AMO, /_AMO = 90^@`
so, by pythagoras theorem
...
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    NCERT|Exercise Exercise 10.1|2 Videos
  • CIRCLES

    NCERT|Exercise Solved Examples|6 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT|Exercise EXERCISE 9.1|1 Videos
  • CONSTRUCTIONS

    NCERT|Exercise EXERCISE 11.2|5 Videos

Similar Questions

Explore conceptually related problems

The lengths of two parallel chords of a circle are 6cm and 8cm. If the smaller chord is at a distance of 4cm from the centre,what is the distance of the other chord from the centre?

The length of two parallel chords of a circle are 6cm and 8cm. If the smaller chord is at a distance of 4cm from the centre,what is the distance of the other chord from the centre?

Lengths of two parallel chords of a circle are 6cm and 8cm. If the smaller chord is at a distance of 3sqrt(3)cm from the centre of the circle,then the distance of the larger chord from the centre of the circle would be

The length of two parallel chords of a circle are 6 cm and 8 cm . The radius of the circle is 5 cm. Find the distance btween them if : (i) chords are on the same side of the centre. (ii) chords are on the opposite side of the centre.

The radius of a circle is 13 cm and XY is a chord which is at a distance of 12 cm from the centre. The length of the chord is:

In a circle of radius 17 cm a chord is at a distance of 15 cm form the centre of the circle. What is the length of the chord ?

A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is