Question

The cost of a fencing a circular field at the rate of Rs 24 per meter Rs5280 if Pai is taken as 22/7 than the radius of the field is

Answer 1

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Given ☜ :

Cost of fencing a circular field per square meter is Rs 24

Cost of fencing whole circular field is Rs 5280.

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☆ Required to find :

1. Radius of the circular field .

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✎ Mentioned condition :

Pi ( ∏ ) = 22/7

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✇ Explanation :

In the question it is given that the cost of fencing the circular field for 1 square meter is Rs 24 .

Similarly the cost of fencing the whole circular field is Rs 5280 .

Now , we have to find the area of the circular field.

This can be found by dividing the cost of fencing whole area by cost of fencing square meter .

Hence ; we can know the area of the circular field .

Then we have to use the formula that is

Area of the circle to find the length of the radius.

Satisfying the condition that is pi = 22/7

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↪ Solution :

Cost of fencing whole circular field = Rs 5280

Cost of fencing per square metre = Rs 24

Hence;

$\boxed{Area\:of\:the\:circular\:field\:= \frac {Cost\: of \: fencing \: whole\:field}{Cost\:of\:fencing \: per\:{meter}^{2}}}$

Area of the circular field = 5280 / 24

↣ Area of the circular field = 220 meter^2

Now ;

Area of the circular field is 220 meter^2

Let the radius be " x " meters

Hence ;

Using the formula

$area \: of \: the \: circle = \pi {r}^{2}$

Hence ,

∏ r ^2 = 220

22/7 × X × X = 220

X^2 = 220 × 7 ÷ 22

X^2 = 70

X = √70

X = 8.3666---- meters

Hence

Approximately the value of x is

$\boxed{\longrightarrow{\boxed{x\:=\:8.37meters}}}$

Therefore;

$\Rightarrow{\large{\underline{\bold{Radius\:of\:the\:circle\:=\:8.37meters}}}}$

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