Math, asked by Sandeeppingua327, 1 year ago

A circular field , 28m in diameter , has a path 1.75m wide running round it on the outside. Find the cost of gravelling the path at rs. 5 per square metre

Answers

Answered by debtwenty12pe7hvl
8

Hi,  Sandeep hope this will help u

diameter [d] of the plot=28m

radius[r] of the plot=28/2=14m

Width of the path=1.75m

Hence, outer radius[R]=14+1.75=15.75m

outerArea concentric circles   A = π(R2 - r2)

Area of the path= π*(R^2 - r^2)

=>22/7*(15.75+14)(15.75-14)        [a^2-b^2=(a+b)(a-b) identity]

=>22/7*29.75*1.75

=>22/7*52.0625

=>163.625 sq.m

Cost of gravelling=Rs. 5 per sq. m

Therefore total cost of gravelling the path=163.625 * 5 = Rs.818.125

Aprox Rs.818.13 ans



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