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An Investigation into the Varying Isoperimetric Quotients of Differing Shapes.  

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An Investigation into the Varying Isoperimetric Quotients of Differing Shapes The purpose of this investigation is to find. 1: To find a general formula for the IQ of regular shapes. 2: To find a maximum and minimum IQ of shapes. 3: Try to find a pattern linking between the IQ and the dimensions of the shape. To do this the investigation will be conducted with varying techniques to gain a general formula. Some of these techniques are; 1. Trigonometry 2. Algebra 3. Area and perimeter of all shapes A developing pattern in results. When studying the results for each shape, one fact becomes apparent the higher the number of sides the shape has, the higher the IQ. A circle, which has an infinite amount of sides, has the highest IQ of all shapes. Therefore, shapes with a high number of sides also have a high IQ due to their similarity with a circle. It also stands to reason the triangle had...

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