The area enclosed by a circular plot is \( 61659 . m \). Eind the diavatery of the plot. Also find the cost of fencing it at the rate of \( ₹ 7 \) per.m2

To find the diameter of the circular plot, we first need to calculate the radius using the area formula \( A = \pi r^2 \). Given that the area \( A = 61659 \, m^2 \), we can rearrange the formula: \[ r^2 = \frac{A}{\pi} \approx \frac{61659}{3.14} \approx 19625.79 \] \[ r \approx \sqrt{19625.79} \approx 140 \, m \] The diameter \( d \) is twice the radius: \[ d = 2r \approx 2 \times 140 = 280 \, m \] To calculate the cost of fencing, we need the perimeter of the circle, which is given by \( C = 2\pi r \): \[ C \approx 2 \times 3.14 \times 140 \approx 879.6 \, m \] Finally, the cost of fencing at the rate of \( ₹ 7 \) per meter is: \[ \text{Cost} = C \times 7 \approx 879.6 \times 7 \approx ₹ 6157.2 \] So, the diameter of the circular plot is approximately \( 280 \, m \), and the cost of fencing it is about \( ₹ 6157.2 \).