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The cost of levelling a circular field at Rs 3.5 per square meter is Rs.1100. The cost of putting up a fence all round it at Rs.3.50 per meter is

A228

B358

C248

D220

Answer:

D. 220

Read Explanation:

Amount=Area×RateAmount=Area\times{Rate}

Area=πr2Area=\pi{r^2}

Rate=1RsRate = 1 Rs

πr2×3.5=1100\pi{r^2}\times{3.5}=1100

227×r2×72=1100\frac{22}{7}\times{r^2}\times{\frac{7}{2}}=1100

11×r2=110011\times{r^2}=1100

r2=100r^2=100

r=10r=10

Cost of Fencing,

Perimeter×rate=AmountPerimeter \times{rate}=Amount

2πr×Rate=Amount2\pi{r}\times{Rate}=Amount

2πr×3.50=Amount2\pi{r}\times{3.50}=Amount

2×227×10×3.50=Amount2\times{\frac{22}{7}}\times{10}\times{3.50}=Amount

Amount=10×22Amount=10\times{22}

Amount=220Amount = 220

Cost pf putting up fencing around id Rs.220.


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