Quantitative Aptitude Ques 361

Question: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm and breadth 7 cm. What is the circumference of a semi-circle whose diameter is equal to the side of the square? (Rounded off to the two decimal place)

Options:

A) 38.57 cm

B) 23.57 cm

C) 42.46 cm

D) 47.47 cm

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Perimeter of square $ =2\times 2,(8+7)=60m $ $ 4a=60,cm $

$ \therefore $ $ a=15,cm $ Diameter of circle = 15 cm

$ \therefore $ Radius = 7.5 cm Circumference of semi-circle $ =\pi r+2r $ $ =\frac{22}{7}\times 7.5+2\times 7.5=38.57,cm $