The cost of cultivating a circular field at $R s . 2.25$ per $100 m^{2}$ is $R s . 346.50$ . Find the radius and the cost of fencing the field at $R s . 1.20 p e r m$ .

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Solution

Given cost of cultivating $= R s . 2.25 p e r 100 m^{2}$

Therefore cultivating $1 m^{2}$ cost $R s . \frac{2.25}{100}$

Let area which was cultivated be $x m^{2}$

Then ,
$\frac{2.25}{100} \times x = 346.50$

$225 x = 3465000$
$x = 15400 m^{2}$

Therefore we can say that,
$π r^{2} = 15400$
$r^{2} = 4900$
$r = 70 m$

And perimeter $= 2 π r = 2 \times \frac{22}{7} \times 70 = 440 m$

Hence cost of fencing at $R s .1 .20 p e r m = 440 \times 1.20 = R s . 528$

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The cost of cultivating a circular field at Rs.2.25 per 100 m2 is Rs.346.50. Find the radius and the cost of fencing the field at Rs.1.20 per m.

The cost of cultivating a circular field at $R s . 2.25$ per $100 m^{2}$ is $R s . 346.50$ . Find the radius and the cost of fencing the field at $R s . 1.20 p e r m$ .