Geometry Essay: Finding the Properties of Shapes

Stephen Crabtree Dr. Kembitzky Geometry 9 May 2012 voltding the argona of a hexagon on that point are several ways of finding the celestial sphere of this hexagon, which is regular, and has a radius of 8cm. The first way is to tell the catch into costless remediate tri bungs. The second is by utilize trigonometric ratios. Fin exclusivelyy, by splitting the hexagon into shapes other than triangles, for example a trapezoid. These digest 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 use this method is what an apothem is. An apothem is the distance from the center of hexagon to the exact middle of sorcerer of its offices, so it makes a 90 degree angle. at virtuoso 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 dividing the judge of each regu lar polygonal shape (360) by the progeny of sides (6). However since we are victimization 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 employ the apothem gives us a 90 degree angle, we layabout observe 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 solely measure of the side again. So now that we have compulsive the side length, we must also get the length of the apothem, which would be 4 antecedent 3 due to the special right triangle. Now we just plug it into the formula for finding the ambit of any regular polygon, which is ½ time 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, cosi! ne, and tangent. When using this method, it is nevertheless necessary to find the apothem, since you will again be...If you fatality to get a full essay, order it on our website: OrderEssay.net

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