SOLUTION: I have a 10 foot in diameter fountain if I build a 3 foot walkway around it what would be the square footage of the walkway? I would like the answer and how to get the answer

Algebra ->  Surface-area -> SOLUTION: I have a 10 foot in diameter fountain if I build a 3 foot walkway around it what would be the square footage of the walkway? I would like the answer and how to get the answer       Log On


   

Question 636359: I have a 10 foot in diameter fountain if I build a 3 foot walkway around it what would be the square footage of the walkway?

I would like the answer and how to get the answer thank you so much zina
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Area of fountain only:

A = pi*r^2

A = pi*5^2

A = 25pi

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Area of fountain+walkway

A = pi*r^2

A = pi*8^2

A = 64pi
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Area of walkway only

A = (Area of fountain+walkway) - (Area of fountain)

A = 64pi - 25pi

A = 39pi

So the area of the walkway only is exactly 39pi square feet. This is approximately 39pi = 39*3.14159 = 122.52201 square feet