Question

cost of fencing a circular field at the rate of rupees 24 per metre is rupees 5280 .Find radius..?​

Answer 1

Given that : Cost of fencing a circular field at the rate of rupees 24 per metre is 5280 Rs.

1 m² = 24 Rs.

=> 1 Rs. = 1/24 m²

=> 5280 Rs. = 5280/24 = 220 m²

So, the area of Circular field = 220 m²

As we know that :

Area of Circle = πr²

According to the question :

$\pi {r}^{2} = 220 \\ \\ = > \frac{22}{7} \times {r}^{2} = 220 \\ \\ = > {r}^{2} = 70 \\ \\ = > r = \sqrt{70}$

So, the radius of circular field will be √70 m.

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