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A chord is at a distance of 8 cm from th...

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

A

`25 cm`

B

`12.5 cm`

C

`30 cm`

D

`9 cm`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `OA = 17 cm` and `OL = 8 cm`
`:. AL^(2) = OA^(2) -OL^(2) = (17)^(2) - (8)^(2) = 289-64= 225`
`implies AL = sqrt( 225) = 15`
`implies AB = ( 2 xx AL ) = ( 2 xx 15) cm = 30 cm`
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In a circle of radius 17 cm, a chord is at a distance of 8 cm from the centre of the circle. What is the length of the chord? 17 सेमी त्रिज्या वाले एक वृत्त में, वृत्त के केंद्र से 8 सेमी की दूरी पर एक जीवा है | जीवा की लंबाई ज्ञात करें |

Knowledge Check

  • 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
    15 cm
    B
    12 cm
    C
    8 cm
    D
    16 cm

  • A chord 6 cm long is at a distance of 4 cm from the centre of a circle. Find the length of a chord which is at a distance of 3 cm from the centre of the circle.

    A
    10 cm
    B
    6 cm
    C
    8 cm
    D
    12 cm

  • Find the length of a chord which is at a distance of 8 cm from the centre of a circle of radius 17 cm.

    A
    `25 cm`
    B
    `35 cm`
    C
    `30 cm`
    D
    None

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    If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to

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