Question

A farmer buys a circular field at the rate of Rs700 per m² for Rs316800. Find the perimeter of the field.​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge{\underline{\underline{\red{Answer}}}}$

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$\mathbb{\boxed{\pink{GIVEN}}}$

• Total cost =Rs 316800
• Rate = Rs.700 per $m^{2}$

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The area of the field is :

$\frac{total \: cost}{cost \: per \: {m}^{2} } \\ \\ \implies \frac{316800}{700} {m}^{2} \\ \\ \implies \: \frac{3168}{7} {m}^{2}$

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We know Area of circular field is

$\pi {r}^{2}$

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we can say,

$\pi {r}^{2} = \frac{3168}{7} \\ \implies \: \frac{22}{7} \times {r}^{2} = \frac{3168}{7} \\ \implies \: {r}^{2} = \frac{3168}{22} \\ \implies {r}^{2} = 144 \\ \implies \: r = \sqrt{144}$

Thus $\large{\boxed{\underline{\green{r=12m}}}}$

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Perimet will be:

$2\pi \: r \\ = 2 \times \frac{22}{7} \times 12m \\ = 75.42m$

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$\large{\underline{\underline{\red{Perimeter=75.42m}}}}$