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Multiple Choice Questions
1. The area of a circular cricket ground is 24.64 hectares. Find the cost of making rope boundary at the rate of Rs. 5.40 per metre.
(A): Rs. 9,600
(B): Rs. 9,504
(C): Rs. 9,802
(D): Rs. 9,876
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By: anil on 05 May 2019 02.07 am
1 hectare = 10,000 sq. m Let radius of ground = $$r$$ m
=> Area of ground = 24.64 hectares = 246400 sq. m => $$pi r^2=246400$$ => $$frac{22}{7} imes r^2=246400$$ => $$r^2=246400 imesfrac{7}{22}=78400$$ => $$r=sqrt{78400}=280$$ m Now, circumference = quantity of rope required = $$2pi r$$ = $$2 imesfrac{22}{7} imes280=1760$$ m $$ herefore$$ Total cost = $$1760 imes5.40=Rs.$$ $$9,504$$ => Ans - (B)
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SSC CHSL 7 March 2018 Morning Shift
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=> Area of ground = 24.64 hectares = 246400 sq. m => $$pi r^2=246400$$ => $$frac{22}{7} imes r^2=246400$$ => $$r^2=246400 imesfrac{7}{22}=78400$$ => $$r=sqrt{78400}=280$$ m Now, circumference = quantity of rope required = $$2pi r$$ = $$2 imesfrac{22}{7} imes280=1760$$ m $$ herefore$$ Total cost = $$1760 imes5.40=Rs.$$ $$9,504$$ => Ans - (B)