Question

6. A circular pond is 21 m in diameter. It is surrounded by 3.5 m wide path. Find thecost of constructing the path at the rate of Rs. 25 per m2.

Answer 1

I have send it as an image :

Answer 2

Answer:

Rs.6731.375

Step-by-step explanation:

Diameter of circular pond = 21 m

Radius of circular pond r = $\frac{Diameter }{2} = \frca{21}{2} =10.5$

Circular Pond is surrounded by 3.5 m wide path.

Outer Radius R  = 10.5+3.5 =14 m

Area of path = Outer area - inner area

                     =  $\pi (R^2-r^2)$

                     =  $3.14 (14^2-10.5^2)$

                     =  $269.255 m^2$

Cost of constructing 1 sq.m.  = Rs. 25

Cost of constructing 269.255 sq.m. = $25 \times 269.255=6731.375$

Hence the cost of constructing the path at the rate of Rs. 25 per sq.m. is Rs.6731.375