SOLUTION: A circular swimming pool has a diameter of 50 feet and is centered in a fenced-in square region measuring 90 feet by 90 feet. A concrete sidewalk 5 feet wide encircles the pool, an

Algebra ->  Surface-area -> SOLUTION: A circular swimming pool has a diameter of 50 feet and is centered in a fenced-in square region measuring 90 feet by 90 feet. A concrete sidewalk 5 feet wide encircles the pool, an      Log On


   

Question 536852: A circular swimming pool has a diameter of 50 feet and is centered in a fenced-in square region measuring 90 feet by 90 feet. A concrete sidewalk 5 feet wide encircles the pool, and the rest of the region is grass, as shown. Find the area of the grass. Use
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The diameter of the pool is 50 feet. The walk (circular) around it is 5 feet. That means there is a circle with 55 feet diameter that isn't grass.


Use pi=22/7.
The radius (r) of a circle is 1/2 the diameter = 1/2 * d.
The area of a circle is


A(square)=s*s.


For the given square that's 90%2A90=8100


The grass is the A(square) - A(circle) = 8100-2376.79=5723.21 square feet.


Not sure what the problem indicated you should use as pi. The answer will be slightly different if 3.14159 is used.

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