Quantitative Aptitude Ques 1135

Question: The area of the shaded region in the figure given below is

Options:

A) $ \frac{a^{2}}{2}( \frac{\pi }{2}-1 )squnits $

B) $ a^{2}(\pi -1)squnits $

C) $ a^{2}( \frac{\pi }{2}-1 )squnits $

D) $ \frac{a^{2}}{2}(\pi -1)squnits $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Area of semi-circle $ =\frac{\pi a^{2}}{2} $ Now, area of $ \Delta ABD=\frac{1}{2}\times 2a\times a $ $ =a^{2} $

$ \therefore $ Area of shaded region
$ =\frac{\pi a^{2}}{2}-a^{2} $ $ =a^{2}( \frac{\pi }{2}-1 )squnits $

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