A rectangular park is 100 m by 50 m. It is surrounding by semi-circular flower beds all round. Find the cost of levelling the semi-circular flower beds at 60 paise per square metre (use π = 3.14).
Since four semicircular flower beds rounds the rectangular park. Then, diameters of semicircular plots are `2r_1=l and 2r_2=w`
Area of semicircular plot at larger side of rectangle`=1/2 pir^2`
`= 3925 m^2`
And the radius of semicircle at smaller side of rectangle
Area of semicircluar plot at smaller side of rectangle=`1/2 pi r^2`
Now, the total area of semicircular plot is sum of area of four semicircular plots.
Total Area of plot`=2xx3925+2xx981.25`
`= 9812.5 m^2`
Since, The cost of levelling semicircular flower bed per square meter=` Rs 0.60`
So, The cost of levelling 9812.5 square meter flower bed= `Rs0.60xx9812.5`
=` Rs 5887.50`
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