SOLUTION: A flower garden is shaped like a circle. Its radius is 15yds. A ring shaped path goes around the garden. The width of the path is 5 yds. The gardener is going to cover the path w

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A flower garden is shaped like a circle. Its radius is 15yds. A ring shaped path goes around the garden. The width of the path is 5 yds. The gardener is going to cover the path w      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 824831: A flower garden is shaped like a circle. Its radius is 15yds. A ring shaped path goes around the garden. The width of the path is 5 yds.
The gardener is going to cover the path with sand. If one bag of sand can cover 6yds squared, how many bags of sand does the gardener need? Note the sand comes only by the bag, so the number if bags must be a whole number.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A flower garden is shaped like a circle. Its radius is 15yds.
A ring shaped path goes around the garden.
The width of the path is 5 yds.
The gardener is going to cover the path with sand.
If one bag of sand can cover 6yds squared, how many bags of sand does the gardener need?
Note the sand comes only by the bag, so the number if bags must be a whole number.
:
Find the area of the garden
A + pi%2A15%5E2 = 706.86 sq/yds
The path adds 5 yds to the radius (20 yds) find the overall area
A = pi%2A20%5E2 = 1256.64 sq/yds is the overall area
Path area = overall area - garden area
A = 1256.64 - 706.86
A = 549.78 sq/yds is the area of the path only
:
Find the no. of bag of sand required
550%2F6 ~ 92 bags of sand