Question 5

The cost of fencing a circular plot at the rate of Rs.15 per m is ` 3300. What will be the cost of flooring the plot at the rate of Rs.100 per sq m?

Solution

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Let r be the radius of the circular plot

Perimeter of the plot = $$2\pi\ r$$

Cost of fencing the circular plot at Rs 15 per meter =  $$2\pi\ r$$ *15

$$2\pi\ r$$ *15 = 3300

r = 35m

Cost of flooring per sq m = Rs 100

Area  of the circular plot = $$\pi\ r^2$$ 

= 3850 sq m

Cost  of flooring the circular plot = 3850*100 = Rs.385000

A is the correct answer.

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