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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 spa
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 spa
admin
2013-02-19
59
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 approximate area that will be encompassed by the fence?(π = 3.14)
选项
答案
706.5 ft
2
解析
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 πr
2
. The radius is half of the diameter, so r = 15. Substitute 15 for rand 3.14 for π and solve:
Area =(3.14)(15)
2
Area = 706.5 ft
2
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