Question

The area of a circular field is 6.7914 hectares. Find the cost of fencing it at the rate of Rs. 2.20 per meter.

Answer 1

Solution

Given:-

• The area of a circular field is 6.7914 hectares
• cost of fencing it at the rate of Rs. 2.20 per meter

Find :-

• Total cost of fencing of whole field .

Explanation

Using Formula

★Area of circle = πr²

★curcumference of circle = 2πr

Where,

• π = 3.14
• r = Radius

we Know,

• 1 Hectares = 10000 m².

Then,

• 6.7914 Hectares = 67914 m²

Case 1.

==> Area of circular field = 67914

==> πr² = 67914

==> r² = 67914/π

==> r² = 67914/3.14

==> r = √(21628.66)

==> r = 147.07 m

Now, Calculate circumference

==> Circumference of circular field = 2πr

keep Value of π & r

==> Circumference of circular field = 2 × 3.14 × 147.07

==> Circumference of circular field = 923.53 m

∵ cost of fencing rate per meter = Rs. 2.20

•°• cost of fencing rate 923.53 m = 2.20 × 923.53

•°• cost of fencing rate 923.53 m = 2031.77 m

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