A circular pond is of diameter 17.5 m. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs. 25 per square meter (Use π = 3.14).

Given

d = 17.5 m and wide = 2 m and rate = 25

\$ r = d/2\$

\$r = 17.5/2\$

r = 8.75

Calculate the outer radius of the path

Outer Radius = Radius of Pond + Width of Path

Substituting the given values

Outer radius = 8.75 + 2 = 10.75

Calculate the area of the outer circle

The area of a circle is given by the formula

\$A = π times r^2\$

Substituting the given values

\$"Area of Outer Circle" = π times ("Outer Radius")^2\$

\$= 3.14 times (10.75 m)^2\$ = 362.85

Calculate the area of the inner circle (pond)

Substituting the given values

\$"Area of Inner Circle" (Pond) = π times ("Radius of Pond")^2\$

\$= 3.14 times (8.75 m)^2\$ = 240.39

Calculate the area of the path and Substituting the values

Area of Path = Area of Outer Circle - Area of Inner Circle

Area of path = 362.85 - 240.39

Area of path = 122.46

Calculate the cost of constructing the pathway and substitute the values

\$"Cost" = "Area of Path" times "Cost per square meter"\$

\$"Cost" = 122.46 times 25\$

Cost = Rs.3061.5

Therefore, the cost of constructing the path at the rate of Rs. 25 per square meter is Rs. 3061.5

Can you summarize what you’ve understood in the above steps?

Incorrect. This option may be the closest, but it could result from rounding or calculation errors

Rs. 3061

The result is wrong due to rounding errors or calculation mistakes

Rs. 3062.5

The answer is correct because it matches the calculated value

Rs. 3061.5

The result is wrong due to rounding errors or calculation mistakes

Rs. 3062

Option

C

Can you summarize what you’ve understood in the above steps?