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The difference between the radii of the ...

The difference between the radii of the bigger circle and smaller circle is 14 cm and the difference between their areas is `1056 cm^(2)`. Radius of the smaller circle is

A

7 cm

B

5 cm

C

9 cm

D

3 cm

Text Solution

Verified by Experts

The correct Answer is:
B
`pix^2-pi(x-14)^2=1056`
`rArr x^2-x^2-196+28x=(1056xx7)/22`
`rArr`28x=336+196
`rArrx=(532)/(28)=19`
`therefore` छोटे वृत्त की त्रिज्या=19-14=5cm
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