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John is building a circular fence around his circular pool. The pool is 26 feet
John is building a circular fence around his circular pool. The pool is 26 feet
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2024-01-12
51
管理
问题
John is building a circular fence around his circular pool. The pool is 26 feet in diameter. If John wants to have 2 feet of space between the edge of the pool and the fence, what is the area that will be encompassed by the fence? (π=3.14)
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答案
If the pool has a diameter of 26 feet, and the fence needs to be 2 feet away from the edge of the pool, the diameter of the area enclosed by the fence would be 26+2+2=30 feet. Draw a picture to help visualize the problem:
[*]
The area of a circle is πr2. The radius is half of the diameter, so r=15.
Substitute 15 for r and 3.14 for π and solve:
Area=(3.14)(15)2
Area=706.5 ft2
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