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 π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 4
Let, radius of the circular field = r
Circumference of the circular field = 2πr
Rs. 13.5 is needed to build a fence of = 1 foot.
Rs. 7425 is needed to build a fence of = \(\frac{7425}{13.5}\) = 550 ft.
Circumference of the circular field = 550 ft.
According to problem,
= 2πr = 550
= r = 87.5
Area of the circular field = πr2 = \(\frac{22}{7}\)× (87.5)2 = 24062.5 sq. ft.