The cost of fencing a circular plot at the ra | vedclass

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Question

(A) The circumference of the circular plot is calculated by dividing the total cost of fencing by the rate per meter:Circumference $= \frac{3300}{15}

Vedclass · Accepted Answer

$385000$

Vedclass · Answer

(A) The circumference of the circular plot is calculated by dividing the total cost of fencing by the rate per meter:Circumference $= \frac{3300}{15} = 220 \ m$.Using the formula for circumference $C = 2\pi r$,we find the radius $r$:$220 = 2 	imes \frac{22}{7} 	imes r$$r = \frac{220 	imes 7}{44} = 5 	imes 7 = 35 \ m$.The area of the circular plot is given by $A = \pi r^2$:$A = \frac{22}{7} 	imes 35 	imes 35 = 22 	imes 5 	imes 35 = 3850 \ m^2$.The cost of flooring is the area multiplied by the rate per square meter:Cost $= 3850 	imes 100 = Rs. 385000$.

The cost of fencing a circular plot at the rate of $Rs. 15$ per $m$ is $Rs. 3300$. What will be the cost of flooring the plot at the rate of $Rs. 100$ per square metre? (in $Rs.$)

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