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Maths Portfolio Estimation of ? It is important to state at this stead that n whiz of the diagrams here included are drawn to scale. similarly in relation to mathematical notation, the standard computer relegation was used: + (plus), (minus), / ( separate by), * (multiplied by). The honor of Pi lies between the graven and delineate polygonal shapes in a unit fix because the expanse of the overlap is ? (?r2 where r = 1). Since the inscribed polygon has a smaller area (since by definition it is contained inside the band) and the key polygons has a great area (since by definition it contains the carrousel), what follows is that the value of ? is between these both areas. Area of Inscribed Polygon To express the area of an inscribed polygon contained by the unit circle a general decree was found as follows: graduation a polygon was divided into a compute of like triangles equal to its number of sides, debate Fig 1.1 for illustration. Using the come up for suffering the area of a triangle: ½ a*b*sin(C), a order was highly-developed for finding the area of one of the triangles which would further on be would be multiplied by the number of triangles. The formula was worked bug out as shown in Fig 1.2: When multiplied by the number of triangles, the formula came out to be: Area of Circumscribed Polygon To find the area of a line polygon containing the unit circle a general formula was found as follows: From the definitions of circumscribed triangle and unit circle, Fig. 2.1 was produced, where r = 1. From this it was necessary to develop a method for finding the area of this triangle. To achieve this, it was required to crystallise out down the triangle into smaller identical triangles in frame to make more use of the information obtained. The triangle was hence broken into 6 identical smaller triangles as shown on Fig 2.2: The value for ? on Fig. 2.2 is of ( 2? / 6 ). From this it was potential to work with simply one triangle a! nd...If you take to circumvent a full essay, order it on our website: BestEssayCheap.com

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