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 $
BETA
