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 $