Correct Answer - Option 3 : 352
Given:
The perimeter of the rectangle = 400 metre
The ratio of length and width of rectangle = 14 : 11
The area of the rectangle = area of the circle
Formula used:
Area of a Circle = πr2
Circumference of a Circle = 2πr
Perimeter of a Rectangle = 2 × (length + breadth)
Area of a Rectangle = length × breadth
Calculation:
The perimeter of the rectangle
2(14x + 11x) = 400
⇒ 25x = 200
⇒ x = 8
Lenght = 8 × 14 = 112 m
Breadth = 8 × 11 = 88 m
Area of circle = area of rectangle
⇒ πr2 = 88 × 112
⇒ r2 = 88 × 112 × 7/22
⇒ r2 = 3136
⇒ r= 56 m
Circumference of the circle is
⇒ 2 × (22/7) × 56
⇒ 352 m
∴ The circumference of the circle is 352 metre.