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If radii of the two concentric circles a...

If radii of the two concentric circles are 15cm and 17cm, then the length of each chord of one circle which is tangent to other is:

A

8cm

B

16cm

C

30cm

D

17cm

Text Solution

Verified by Experts

The correct Answer is:
16cm
Let AB is a chord of the outer circle which touches inner circle at P.
AB= 2(AP) (as `OP _|_ AB`)
In right angle `/_\AOP`
AO= 17cm and AP = 15 cm
`:. (AO)^2 = (AP)^2 + (OP)^2`
`:. (OP)^2 = (17)^2 -(15)^2 `
`:. OP = 8 cm`
`:. AP = 2 xx 8 = 16cm`
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