Quantitative Aptitude Ques 994

Question: In the given figure, if the diameter of each circle is 14 cm and DC = CE, the area of $ \Delta BDE $ is

Options:

A) $ 784cm^{2} $

B) $ 748cm^{2} $

C) $ 874cm^{2} $

D) $ 441cm^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • In $ \Delta BDE, $ $ DC=2\times $ Diameter of circle $ =2\times 14=28cm $

$ \therefore $ $ DE=DC+CE=28+28cm=56cm $

$ \therefore $ Area of $ \Delta BDE=\frac{1}{2}\times BC\times DE $ $ =\frac{1}{2}\times 28\times 56 $ $ =14\times 56=784cm^{2} $

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