Question
Download Solution PDFThe 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)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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