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 The area of a circular field is 13.86 hectare. The cost of fencing it @ Rs 0.60 / m is
The area of a circular field is 13.86 hectare. The cost of fencing it @ Rs 0.60 / m is
Calculate the economical fencing expenses for a vast circular field of 13.86 hectares, with fencing costs set at Rs 0.60 per meter.
by Maivizhi A
Updated Feb 24, 2024
The area of a circular field is 13.86 hectare. The cost of fencing it @ Rs 0.60 / m is
The cost of fencing the circular field is Rs 792.
Here's how to find the cost of fencing the circular field:
1. Convert area from hectare to square meters:
1 hectare = 10,000 square meters
Area of the field = 13.86 hectare * 10,000 square meters/hectare = 138,600 square meters
2. Find the radius of the field:
Let the radius of the field be 'r'.
Area of a circle = π * r^2
138,600 = π * r^2
r^2 = 138,600 / π ≈ 44,300.87
r ≈ √44,300.87 ≈ 210 meters
3. Calculate the circumference (perimeter) of the field:
Circumference = 2 * π * r
Circumference ≈ 2 * π * 210 ≈ 1320 meters
4. Find the cost of fencing:
Cost per meter = Rs 0.60
Total cost = Circumference * Cost per meter
Total cost = 1320 meters * Rs 0.60/meter = Rs 792
Therefore, the cost of fencing the circular field is Rs 792.
Conversion of Units in Mathematics
Conversion of units in mathematics involves changing the measurement of a quantity from one unit to another while keeping the value of the quantity the same. This is often necessary when dealing with different systems of measurement or when working with quantities in different contexts. Here's a general guide on how to perform unit conversions:

Identify the given unit and the desired unit: Determine the units you are starting with and the units you want to convert to.

List conversion factors: Find the conversion factor between the given unit and the desired unit. A conversion factor is a ratio that relates the two units.

Multiply by the conversion factor: Multiply the given quantity by the appropriate conversion factor. This ensures that the value of the quantity remains the same, but expressed in the desired units.

Cancel units: Make sure that the units in the numerator and denominator cancel out properly, leaving you with the desired units.

Perform the calculation: Multiply or divide the given quantity by the conversion factor to get the converted value.

Check units: Always verify that the units in the final answer are correct and make sense in the context of the problem.
For example, let's convert 2 feet to inches:
1 foot = 12 inches (conversion factor)
To convert from feet to inches, we can use the conversion factor:
2 feet × (12 inches /1 foot) = 24 inches
So, 2 feet is equal to 24 inches.
Remember, you need to know the appropriate conversion factors for the units you are working with. These conversion factors can often be found in textbooks, reference tables, or by searching online.
The area of a circular field is 13.86 hectare. The cost of fencing it @ Rs 0.60 / m is  FAQs
1. How do I calculate the area of a circular field?
To calculate the area of a circular field, you use the formula: Area = π * radius^2.
2. How do I convert hectare to square meters?
To convert hectare to square meters, multiply by 10,000 since 1 hectare equals 10,000 square meters.
3. How do I find the radius of the circular field?
To find the radius, use the formula derived from the area formula: radius = √(Area / π).
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