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Fencing Problem By Olly de Garston Contents page no. Introduction 3 Aim 3 Hypothesis 3 Method 3-9 * Proving regular over irregular shapes 3-6 * N sided regular shapes 6-8 * Circle 9 Conclusion 9 Evaluation 9 Extra graph's 10-11 Introduction A farmer has precisely 1000 metres of fencing and wants to put a fence around a field. He wants to find out which shape has the biggest area, so he can grow the most crops. Aim: 1. To prove regular shapes have a larger area than irregular. 2. To generate a formula that will give the area of an n-sided regular shape. 3. To prove that a circle has the biggest area. Hypothesis My hypothesis is that the shape with a perimeter of 1000 metres that has the biggest area is a circle. My reason for this is that a circle has no corners so the space is more open. Method Proving that regular shapes have larger area's than irregular. Firstly I need to figure out whether regular or irregular...

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