Geometry Essay: Finding the Properties of Shapes

Stephen Crabtree Dr. Kembitzky Geometry 9 May 2012 fit outding the bea of a hexagon in that location are several ways of finding the rural vault of heaven of this hexagon, which is regular, and has a radius of 8cm. The first way is to break away the visualise into forbear accountability tri rakes. The second is by utilize trigonometric ratios. Fin exclusivelyy, by splitting the hexagon into shapes other than triangles, for example a trapezoid. These return all give you accurate answers, but some are easier than others, forthwith lets start by exploitation peculiar(a) right triangles. The first thing you need to know when utilise this method is what an apothem is. An apothem is the distance from the center of hexagon to the exact middle of protagonist of its offices, so it makes a 90 degree angle. at unrivalled 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 tr iangle by dividing the judge of each regular polygonal shape (360) by the progeny of sides (6). However since we are victimization the apothem to split the sides in half(prenominal) we must(prenominal) divide that answer again, by 2. By doing this, we arouse that the top peak of the triangle is 30 degrees, and since using the apothem gives us a 90 degree angle, we base set up 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 self-colored measure of the side again. So now that we have dogged the si de length, we must also get the length of th! e apothem, which would be 4 beginning 3 due to the special right triangle. Now we just plug it into the formula for finding the area 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, cosine, and tangent. When using this method, it is nevertheless necessary to find the apothem, since you will again be...If you ask to get a full essay, order it on our website: BestEssayCheap.com

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