Home
Class 10
MATHS
Two chord PQ and PR of the circle are pe...

Two chord PQ and PR of the circle are perpendicular to each other. If the radius of the circle be r and then find the length of the chord QR.

Text Solution

Verified by Experts

`:.` PQ and RP are perpendicular to each other , `:.angleQPR=90^(@)`
`:. angleQPR` is a semicircular angle.
`:. QR` is a diameter.
Since QR is a diameter of the circle.
`:.` radius of the circle r=cm (Given)
`:. QR =2 r cm`
Promotional Banner

Topper's Solved these Questions

  • THEOREMS RELATED TO ANGLES IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.1 (Very Short-Answer Type Questions) MCQs|4 Videos

  • THEOREMS RELATED TO ANGLES IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 2.1 (True or False)|2 Videos

  • THEOREMS RELATED TO ANGLES IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Short-Answer Type Questions) MCQs|5 Videos

  • THEOREMS RELATED TO CYCLIC QUADRILATERAL

    CALCUTTA BOOK HOUSE|Exercise Long -answer type questions (L.A.)|12 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

Similar Questions

Explore conceptually related problems

AB and AC are two chords perpendicular to each other. If the radius of the circle = 2r unit, then the length of chord BC is

Two chords AB and AC of a circle are mutually perpendicular to each other. If AB = 4 cm and AC = 3 cm, find the length of the radius of the circle.

Two chords AB and AC of a circle are perpendicular to each other. If AB =4 cm and AC =3 cm , then find the radius of the circle.

Two chords AB and CD of a circle are perpendicular to each other. If perpendicular drawn to AD from the point of intesection of those two chords AB and CD is produced to meet BC at the point E prove that the point E is the mid- point of BC.

If a chord of a circle of radius 5 cm is a tangent to anther circle of radius 3 cm, both the circles being concentric, then the length of the chord is____

P is a point within a circle with centre O. If the radius of the circle is 13cm. And OP = 12cm, then the length of the least chord through P is

The length of each of two parallel chords AB and CD is 10 cm. If the radius of the circle be 13 cm the , find the distance the two chords.

The length of diameter in a circle is 10 cm. If the distance from centre to chord of this circle is 4 cm, then find the length of this chord.

If the length of a chord of a circle is 48 cm and the distance of this chord from the centre is 7 cm , then find the length of the chord , the distance of which form the centre is 20 cm.