Quantitative Aptitude Ques 1918

Question: What is the area between a square of side 10 cm and two inverted semi-circular, cross-section each of radius 5 cm inscribed in the square?

Options:

A) $ 17.5cm^{2} $

B) $ 18.5cm^{2} $

C) $ 20.5cm^{2} $

D) $ 21.5cm^{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Area between square and semi-circles = Area of square $ -2 $ (Area of semi-circle) $ ={{(10)}^{2}}-\frac{2}{2}\times \frac{22}{7}{{(5)}^{2}} $ $ =100-78.5=21.5cm^{2} $
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