# A Square Water Tank Has Its Side Equal to 40 M. There Are Four Semi-circular Grassy Plots All Round It. Find the Cost of Turfing the Plot at Rs. 1.25 per Square Metre (Take π = 3.14). - Mathematics

Sum

A square water tank has its side equal to 40 m. There are four semi-circular grassy plots all round it. Find the cost of turfing the plot at Rs. 1.25 per square metre (Take π = 3.14).

#### Solution

It is given that the side of square . a=40 m

Since four semicircular grassy plots rounds a square water tank. Then, diameter of semicircular plot is2r=a.

r=a/2

=40/2

20 m

Area of semicirular plot=1/2 pir^2

= 1/2xx3.14xx20xx20

=628 m^2

Now, the total area of plot is sum of area of four semicircular plots.

"Total Area of plot"=4xx "Area of semicircle"

=4xx628 m^2

   = 2512 m^2

Since, The cost of turding the plot per squre meter=Rs.1.25

So, The cost turfing 2512 square meter plot= Rs1.25xx2512

= Rs 3140

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.4 | Q 9 | Page 56