SOLUTION: A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the area of the sidewalk? Round to the nearest square foot

Algebra ->  Circles -> SOLUTION: A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the area of the sidewalk? Round to the nearest square foot      Log On


   

Question 1075088: A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the area of the sidewalk? Round to the nearest square foot. Please show steps.
Thank you
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of the sidewalk is the difference of the areas of the larger circle and the smaller circle.


The smaller circle has the radius of 60%2F2 = 30 feet. Its area is pi%2Ar%5E2 = 3.14%2A30%5E2 square feet.


The larger circle has the radius of 30+5 = 35 feet. Its area is pi%2AR%5E2 = 3.14%2A35%5E2 square feet.


Thus the area of the sidewalk is 3.14%2A%2835%5E2-30%5E2%29.


Calculate it on your own.