Question

The circumference of a circular field is $528m$. Then the cost of leveling the field at Rs. 1.50 per $m^2$ is equal to

• A. Rs 66528
• B. Rs 33624
• C. Rs 22176
• D. Rs 44352

Answer 1

Answer: (B)

Rs 33624

$Given-thecircumference=Cofacircularfield=528m.Tofindout-thecostoflevellingthefield@rs1.50/m^2.Solution-Lettheradiusofthecirclcularfieldber.Thenr=\frac{C}{2\pi }whenC=circumferenceofthecircle.⟹r=\frac{528}{2\times \frac{22}{7}}cm=84m.\therefore ar.circle=\pi r^2=\frac{22}{7}\times {84}^2{m}^2=22176m^2.\therefore Thecostoflevellingthefield@Rs1.50/m^2=Rs22176\times 1.50=Rs.33624Ans-OptionB.$