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# A rectangular park is 100 m by 50 m. It is surrounded by semi-circular flower beds all round. Find the cost of levelling the semi-circular flower beds at 60 paise per square meter.

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In this question we have to the find the cost of
levelling the semi-circular flower beds at 60 paise
per square meter given that a rectangular park is
100 m by 50 m. It is surrounded by semi-circular
flower beds all round.

This question is from r d sharma class 10 maths.
I found this question while doing mensuration of
class 10.
I need help in getting the solution.

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1. Given,

Length of the park = 100 m and the breadth of the park = 50 m

The radius of the semi-circular flower beds = half of the corresponding side of the rectangular park

Radius of the bigger flower bed = 100/2 = 50 m

And the radius of the smaller flower bed = 50/2 = 25 m

Total area of the flower beds = 2[Area of bigger flower bed + Area of smaller flower bed]

= 2[Â½ Ï€(50)2 + Â½ Ï€(25)2]

= Ï€[(50)2 + (25)2]

= 3.14 x [2500 + 625]

= 9812.5 m2

Now, rate of levelling flower bed = 60 paise per m2

Therefore,

The total cost of levelling = 9812.5 x 60 = 588750 paise

= Rs 5887.50

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