The cost of building a fence around a circular field is ₹7,425 at the rate of ₹13.50 per foot. What is the area of the circular field? [Use $$\pi = \frac{22}{7}$$]

The cost of building a fence around a circular field is ₹7,425 at the rate of ₹13.50 per foot.

circumference of circular field = $$\frac{7425}{13.50}$$

$$2\times\pi\times radius\ =550$$

$$2\times\frac{22}{7}\times radius\ =550$$

Area of the circular field = $$\pi\times\left(radius\right)^2$$

= $$\frac{22}{7}\times\left(87.5\right)^2$$

= $$\frac{22}{7}\times7656.25$$

= $$22\times1093.75$$

= 24062.5 $$ft^{2}$$