SOLUTION: 1. A flower garden is shaped like a circle. Its diameter is 34yd . A ring-shaped path goes around the garden. The width of the path is 5yd The gardener is going to cover the p

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: 1. A flower garden is shaped like a circle. Its diameter is 34yd . A ring-shaped path goes around the garden. The width of the path is 5yd The gardener is going to cover the p      Log On

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Question 1117546: 1. A flower garden is shaped like a circle. Its diameter is 34yd
. A ring-shaped path goes around the garden. The width of the path is 5yd
The gardener is going to cover the path with sand. If one bag of sand can cover
8yd^2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 as the pie.

Answer by solver91311(24713) About Me  (Show Source):
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Since the diameter of the flower garden is 34 yards, the radius is 17 yards. The outside edge of the path makes a circle with radius 17 + 5 = 22 yards.

The area of the big circle is then:

The area of the flower garden circle is:

The area of the pathway is then:

And the number of bags of sand is the area of the pathway divided by 8 and the result rounded UP.



The calculator work will be easier if you arrange the problem this way:



You can do your own arithmetic. Remember to round up.

John

My calculator said it, I believe it, that settles it