Wendy F.

asked • 03/30/17

Do not understand

The diameter of a circle fountain in a city parks 28 feet. A sidewalk that is 3.5 will be built around the fountain. 1. Find the area of the sidewalk. 2.   0.8 bag of concrete will be needed for every square foot of the new sidewalk. What is the minimum number of bags needed? Please help!

1 Expert Answer

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Kenneth S. answered • 03/30/17

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For any such problem, making and labeling a drawing is most useful.
 
There's a larger circle enclosing the circular fountain. The inner (*fountain") circle has radius 14 ft.
 
Can you see that the outer circle has radius 14 ft + 3.5 ft?
 
The area of the 'ring shaped' sidewalk is the DIFFERENCE between large circle and small circle.  Can you take it from here?
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Wendy F.

So the bigger circle with the sidewalk came to 961.625 and we subtracted the smaller ci which came to 615.44 and the difference of the two is 346.185 which is the new square footage, correct? Then we take .8 and divide that into 346.185 to get the number of bags of concrete needed correct?
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03/30/17

Kenneth S.

I think you've got it!
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03/30/17

Wendy F.

Thank you so much for your help!
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03/31/17

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