SOLUTION: A sidewalk is to be placed around a circular fountain whose diameter is 30 feet.The width of the sidewalk is 6ft.A contractor will charge $2.48 per sq.ft.to construct the sidewalk.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A sidewalk is to be placed around a circular fountain whose diameter is 30 feet.The width of the sidewalk is 6ft.A contractor will charge $2.48 per sq.ft.to construct the sidewalk.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1012395: A sidewalk is to be placed around a circular fountain whose diameter is 30 feet.The width of the sidewalk is 6ft.A contractor will charge $2.48 per sq.ft.to construct the sidewalk.What will be the cost to construct the sidewalk?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Area of sidewalk=Area of sidewalk and fountain - area of fountain
.
Diameter of fountain + sidewalk=30 ft + 12 ft=42 feet
Radius of fountain + sidewalk = 21 feet
Radius of fountain = 15 feet
.
Area of sidewalk=%28pi%2821ft%29%5E2%29-%28pi%2815ft%29%5E2%29
Area of sidewalk=pi%28%2821ft%29%5E2-%2815ft%29%5E2%29
Area of sidewalk=pi%28441ft%5E2-225ft%5E2%29
Area of sidewalk=pi%28216ft%5E2%29
Area of sidewalk=678.58 ft^2
.
Cost of sidewalk= Area x cost per unit area
Cost of sidewalk= 678.58 ft^2 x $2.48 per ft^2
Cost of sidewalk= $1682.88
.