| 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) |
A) 38.57 cm
B) 23.57 cm
C) 42.46 cm
D) 47.47 cm
E) None of these
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 \[=\pi r+2r\] |
| \[=\frac{22}{7}\times 7.5+2\times 7.5=38.57\,cm\] |
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