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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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