SATHEE: Quantitative Aptitude Ques 239

Quantitative Aptitude Ques 239

Question: Two circles touch externally. The sum of their areas is $ 130\pi ,cm^{2} $ and the distance between their centres is 14 cm. The radius of the smaller circle is

Options:

A) 2 cm

B) 3 cm

C) 4 cm

D) 5 cm

Show Answer

Answer:

Correct Answer: B

Solution:

Here, Now, $ \pi ,{{(14-R)}^{2}}+\pi ,R^{2}=130\pi $ $ 196+R^{2}-28R+R^{2}=130 $

$ \Rightarrow $ $ 2R^{2}-28R+66=0 $

$ \Rightarrow $ $ R^{2}-14R+33=0 $

$ \Rightarrow $ $ R^{2}-11R-3R+33=0 $

$ \Rightarrow $ $ R,(R-11)-3,(R-11)=0 $
$ \Rightarrow $ $ R=11 $

$ \therefore $ Radius of smaller circle $ =14-11=3,cm $

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Quantitative Aptitude Ques 239

Question: Two circles touch externally. The sum of their areas is $ 130\pi ,cm^{2} $ and the distance between their centres is 14 cm. The radius of the smaller circle is

Options:

Answer:

Solution:

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