The area of circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 3.2 per metre.

(1 hectare = 10,000 m2)

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  1. Rs. 5,808
  2. Rs. 4,224
  3. Rs. 6,132
  4. Rs. 5,138

Answer (Detailed Solution Below)

Option 2 : Rs. 4,224
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Detailed Solution

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Given:

1 hectare = 10,000 m2

Calculation:

Therefore, area of field = 13.86 hectares × 10,000 m2/hectare = 138,600 m2

Area of a circle = πr2

We need to isolate r, so rearrange the formula:

r = √ (Area)/Π 

r = √(138,600 × 7 m2/ 22) = 210 m

Circumference of a circle = 2πr

⇒ 2 × 22/7 × 210 m = 1320 m

The cost of fencing

Cost of fencing = Fence length × Cost per meter

Cost = 1320 m × Rs. 3.2/meter = Rs. 4224

∴ The cost of fencing the circular field is approximately Rs. 4224.

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