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 = πr^{2}

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

⇒ πr^{2} = 88 × 112

⇒ r^{2} = 88 × 112 × 7/22

⇒ r^{2} = 3136

⇒ r^{}= 56 m

Circumference of the circle is

⇒ 2 × (22/7) × 56

⇒ 352 m

**∴ The circumference of the circle is 352 metre. **