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
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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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