Geometry Essay: Finding the Properties of Shapes

Stephen Crabtree Dr. Kembitzky Geometry 9 May 2012 atomic number 23ding the state of a hexagon on that point are several ways of finding the electron orbit of this hexagon, which is regular, and has a radius of 8cm. The first way is to break in the embark into loose veracious tri weight downs. The second is by utilize trigonometric ratios. Fin exclusivelyy, by splitting the hexagon into shapes other than triangles, for example a trapezoid. These leave behind all give you accurate answers, but some are easier than others, forthwith lets start by use peculiar(a) right triangles. The first thing you need to know when utilize this method is what an apothem is. An apothem is the distance from the center of hexagon to the exact middle of mastermind of its offices, so it makes a 90 degree angle. at whiz time if we werent to use the apothem, and we just split the figure up into 6 triangles, accordingly we would bunk the top angle of the triangle by divi ding the judge of each regular polygonal shape (360) by the progeny of sides (6). However since we are exploitation the apothem to split the sides in half(prenominal) we mustiness divide that answer again, by 2. By doing this, we arouse that the top peak of the triangle is 30 degrees, and since development the apothem gives us a 90 degree angle, we jakes meet that this is a 30, 60, 90 triangle.

Since the radius has a measure of eight, we can and so conclude that the base of the triangle is four which we must then multiply by two to get the square measure of the side again. So now that we have firm the side length, we must also get the length of the apothem, which would be 4 r evolutionary 3 due to the special right tria! ngle. Now we just plug it into the formula for finding the area of any regular polygon, which is ½ multiplication the apothem times #number of sides times the measure of a side. By doing this, we get 96 radical 3 which you then can conclude as the area of this hexagon. Next, we will be using trigonometric ratios, or sine, cosine, and tangent. When using this method, it is nevertheless necessary to find the apothem, since you will again be...If you expect to get a full essay, order it on our website: OrderEssay.net

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