A circular pond of diameter 21m is surrounded by a 3.5m wide path. Find the cost of constructing the path at a rate of rs. 25 per m.
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In the above question the diameter of a circular pond is given and it is said that a path 3.5 m wide is to be constructed at ₹25 and it is asked to find the cost for constructing that path and for that here is the answer:-
Inner diameter = 21 m
Inner radius(r) = 21/2 = 10.5 m
Outer radius(R) = 10.5+3.5 = 14 m
Area of circular path = π(R^2-r^2)
= 22/7[(14)^2-(10.5)^2]
= 22/7(196-110.25)
= 22/7×85.75
= 269.5 m^2
Cost for construction = 25×269.5
= ₹6737.50
Hope this answer will help you.
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