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anonymous

  • 4 years ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction site entering nearby streams. The diameter of the semi-circle is 1200 feet. How many linear feet of fence does the contractor need to use to enclose the area?

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  1. anonymous
    • 4 years ago
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    and how many acres are within the enclosed by the fence?

  2. Mertsj
    • 4 years ago
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    Circumference of the semi-circle is 1/2 pi d or 600 pi or 1885.0 ft. The Area of the semicircle is 1/2 pi r^2 or 1/2 pi (600)^2 or 565486.7 square feet. But one acre is 43,560 sq ft. so 565486.7 sq ft = 13.0 acres

  3. anonymous
    • 4 years ago
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    circumference of the circle is\[C=2\pi r\]since it's a semi circle, the formula will be\[C=\pi r\] given diameter measure is 1200 feet. therefor r=600 substitute to the formula; \[C=\pi r\]\[C=\pi 600\]therefor; it is approximately 1884.96 feet

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