Math, asked by sruthi78, 1 year ago

the area of a circular field is 124.74 hectares.the cost of fencing it at the rate of 80 paise per meter is :​

Answers

Answered by amankumaraman11
7
{ \red{Area \: \: of \: field = 124.74 \: \: hectare}} \\ \\ { \red{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1247400 \: {m}^{2} }}

Now,

\pi {r}^{2} = 1247400 \\ \\ {r}^{2} = \frac{1247400 \times 7}{22} = \frac{8731800}{22} = 396900 \\ \\ r = \sqrt{396300} = 630 \: m

Then,

Circumference \: \: of \: \: field = 2\pi r = \frac{44 \times 630}{7} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 44 \times 90\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3960 \: m

Hence,

Cost \: \: of \: \: fencing = (\frac{80 \times 3960}{100}) = 8 \times 396 = \: Rs \: 3168






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