The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.

Q: The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.40 per metre.

Area = (13.86 x 10000) sq.m = 138600 sq.m πR 2 = 138600 ⇒ R 2 = 138600 × 7 22 ⇒ R = 210 m Circumference = 2 πR 2 = 2 × 22 7 × 210 = 1320 m Cost of fencing = Rs. (1320 x 4.40) = Rs. 5808.

2808
3808
4808
5808

Correct Answer: 5808

Explanation:

Area = (13.86 x 10000) sq.m = 138600 sq.m

$πR 2 = 138600 \Rightarrow R 2 = 138600 \times \frac{7}{22} \Rightarrow R = 210 m$

Circumference = $2 πR 2 = 2 \times \frac{22}{7} \times 210 = 1320 m$

Cost of fencing = Rs. (1320 x 4.40) = Rs. 5808.

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