Question

The Diameter of a circular plot is 14 meters .How much will it cost to fence with 4 rounds of wire at the rate of 45 rupees per meter​

Answer 1

Given

• Diameter = 14 meters
• Radius = 7 meters
• Rate of fencing = Rs45 per meter.

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To find

• Cost of fencing the 4 rounds of wire around the plot.

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Solution

• In this question, we have to find the circumference of the circular plot.

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$\: \: \: \: \: \: \: \: \large{\boxed{\boxed{\sf{Circumference_{(circle)} = 2 \pi r}}}}$

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$\tt\longmapsto{Circumference = 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7}}$

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$\tt\longmapsto{Circumference = 2 \times 22}$

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$\bf\longmapsto{Circumference = 44m}$

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⠀⠀⠀❍ We need to find the cost of ⠀⠀⠀⠀⠀fencing 4 rounds, so the total ⠀⠀⠀⠀⠀wire required is

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$\tt\longrightarrow{4 \times 44}$

$\tt\longrightarrow{176m}$

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⠀⠀⠀❍ Total cost of fencing at the rate ⠀⠀⠀⠀⠀⠀of Rs45 per meter :-

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$\tt:\implies\: \: \: \: \: \: \: \: {Rs(176 \times 45)}$

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$\bf:\implies\: \: \: \: \: \: \: \: {Rs7,920}$

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Hence,

• The total cost of fencing is Rs7,920.

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Answer 2

Given:-

• Diameter of circular plot is 14 m.
• Rate of fencing is 45 rupees.

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To find:-

• Cost of fencing with 4 rounds of wire.

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Solution:-

$\large{\tt{\longmapsto{\green{Radius = 7~ cm}}}}$

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$\large{\boxed{\boxed{\sf{firstly,~ find~ the~ circumference~ of~ circle}}}}$

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★ Using Formula:-

$\star{\boxed{\sf{\orange{Circumference~ of~ circle = 2\pi r}}}}$

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$\large{\tt{\longmapsto{2 \times \dfrac{22}{7} \times 7}}}$

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$\large{\tt{\longmapsto{2 \times 22}}}$

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$\large{\tt{\longmapsto{44~ m}}}$

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Hence, the circumference of circle is 44 m.

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$\large{\boxed{\boxed{\sf{let's,~ find~ the~ cost~ of~ fencing~ 4~ rounds~ of~ wire}}}}$

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$\large{\tt{\longmapsto{4 \times 44}}}$

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$\large{\tt{\longmapsto{176~ m}}}$

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$\large{\boxed{\boxed{\sf{finding ~cost~ of~ fencing~ at~ the~ rate~ of~ 45}}}}$

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$\large{\tt{\longmapsto{176 \times 45}}}$

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$\boxed{\large{\tt{\longmapsto{\red{Rs~ 7920}}}}}$

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Hence, the total cost of fencing is Rs.7920.

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