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The Fencing Problem

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  • Essay length: 6538 words
  • Submitted: 08/05/2009
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    GCSE Fencing Problem

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    The first 200 words of this essay...

    Yr 10 GCSE Maths Coursework:

    The Fencing Problem

    In this investigation I plan to explore various polygons and deduce which type would yield the greatest area while complying with a perimeter of 1000m. I am only investigating regular polygons, because the otherwise would prove to be far too complex and involve an immeasurable amount of data. I will expand on this decision later in the investigation.

    I intend to find a general formula for the area of any polygon and prove it by applying it to each polygon I explore.

    The polygons I plan to investigate include:

    * Triangle (Isosceles, Scalene and Equilateral)

    * Rectangle

    * Parallelogram

    * Pentagon

    * Hexagon

    * Octagon

    * Decagon

    * A polygon with 15 sides (Pentadecagon)

    * A polygon with 20 sides (Icosagon)

    * A polygon with n number of sides (N-Gon)

    * Circle

    As you can see, I am working my way up chronologically in aspects of the number of sides on each polygon. For each one I will produce a table of data displaying the progressive areas for the shape; the areas will increase/decrease

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