Find out how to Calculate the Apothem of A Hexagon
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Social login does not work in incognito and private browsers. Please log in with start your online income journey username or e mail to continue. This text was co-authored 5 Step Formula by David Humphries David Jia. David Jia is an academic Tutor and the Founding father of LA Math Tutoring, a private tutoring company primarily based in Los Angeles, California. With over 10 years of teaching experience, David works with college students of all ages and grades in numerous topics, in addition to faculty admissions counseling and check preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math rating and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Enterprise Administration. Additionally, David has worked as an instructor Work from Home Blueprint for on-line videos for textbook firms corresponding to Larson Texts, David Humphries 5 Step Formula Massive Concepts Learning, 5 Step Formula Review and Massive Ideas Math. There are 7 references cited in this text, which can be discovered at the bottom of the web page.


This text has been truth-checked, making certain the accuracy of any cited information and confirming the authority of its sources. This text has been seen 264,900 occasions. A hexagon is a six-sided polygon. When a hexagon is common it has six equal facet lengths and an apothem. An apothem is a line phase from the middle of a polygon to the middle level of anybody side. You usually have to know the size of the apothem when calculating the area of a hexagon. X Research supply As long as you realize the facet size of the hexagon, you'll be able to calculate the size of the apothem. Divide the hexagon into six congruent, equilateral triangles. To do this, draw a line connecting every vertex, or level, with the vertex reverse. Choose one triangle and label the length of its base. This is equal to the aspect length of the hexagon. For instance, you may need a hexagon with a facet size of eight cm.


The base of every equilateral triangle, then, can be 8 cm. Create two right triangles. To do that, draw a line from the top vertex of the equilateral triangle perpendicular to its base. This line will cut the bottom of the triangle in half (and thus is the apothem of the hexagon). Label the length of the bottom of one in every of the precise triangles. For example, if the bottom of the equilateral triangle is 8 cm, once you divide the triangle into two right triangles, every proper triangle now has a base of 4 cm. Arrange the method for the Pythagorean Theorem. Plug the size of the proper triangle’s base into the components. Plug the size of the hypotenuse into the formulation. You understand the length of the hypotenuse as a result of you realize the facet size of the hexagon. The aspect size of a daily hexagon is equal to the radius of the hexagon. The radius is a line that connects the central level of a polygon with one in all its vertices.


X Research supply You’ll be aware that the hypotenuse of your right triangle can be a radius of the hexagon, thus, the aspect length of the hexagon is equal to the size of the hypotenuse. For example, if the side length of the hexagon is 8 cm, then the length of the suitable triangle’s hypotenuse can be 8 cm. Square the known values within the formulation. Keep in mind that squaring a quantity means to multiply it by itself. Isolate the unknown variable. To do that, find the sq. root of every facet of the equation. This may provde the length of the missing side of the triangle, which is equal to the length of the hexagon’s apothem. Thus, the missing size of the precise triangle, and 5 Step Formula Review the length of the hexagon’s apothem, equals 6.93 cm. Set up the 5 Step Formula Review for locating the apothem of an everyday polygon. Plug the side length into the formulation. Plug the number of sides into the formulation.