Multiple choice

If diameter of the circular park is equal to the perimeter of the square whose area is 1764 m².The what will be the cost of fencing in rs the circular park at rate of rs. 60 per meter ?

  1. 34000

  2. 31680

  3. 36500

  4. 34620

  5. Can not be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The square has side sqrt(1764) = 42 m, so its perimeter is 168 m. This is the circular park's diameter, giving circumference = 22/7 x 168 = 528 m. The fencing cost is 528 x 60 = Rs. 31,680.

AI explanation

First, find the side of the square using its area of 1764 m², which is a perfect square of 42, making the perimeter 4 × 42 = 168 m. Since this perimeter equals the park's diameter, the circumference is π × d = (22/7) × 168 = 528 m. Multiplying the fencing length of 528 m by the rate of 60 per meter gives a total cost of 31680.

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