What Is The Apothem Of A Regular Polygon In a regular polygon the apothem is the segment of a line that runs from the center to the middle point of a side In other words it s the line that cuts through the polygon at right angles to one of the sides starting at the center 00 00 00 00
A dodecagon is a polygon with 12 sides The sum of its interior angles will be 180 times 12 2 circ 180 times 10 circ 1800 circ square 180 215 12 2 180 215 10 1800 The sum of the interior angles of a polygon is 1260 circ 1260 How many sides does it have Let the polygon have n n sides An apothem of a regular polygon is a segment with one endpoint at the center and the other endpoint at the midpoint of one of the sides The apothem of a regular polygon is the perpendicular bisector of whichever side on which it has its endpoint
What Is The Apothem Of A Regular Polygon
What Is The Apothem Of A Regular Polygon
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Apothem of a Polygon Formula A polygon with all sides having equal length and all angles are equal is called as regular polygon The line segment from the center to the midpoint of any of the sides is called as the apothem of regular polygon There are two different formulas to find the apothem
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What Is The Apothem Of A Regular Polygon
Regular Polygon What Is A Regular Polygon Regular Polygon
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https://en.wikipedia.org/wiki/Apothem
The apothem sometimes abbreviated as apo 1 of a regular polygon is a line segment from the center to the midpoint of one of its sides Equivalently it is the line drawn from the center of the polygon that is perpendicular to one of its sides
https://www.cuemath.com/geometry/apothem
Apothem is a line drawn from the center of any polygon to the midpoint of one of the sides Formulas Used to Calculate the Apothem Length The apothem formula when the side length is given is a a S 2 tan 180 n Where a apothem length s side length n number of sides of a polygon The apothem formula when the radius is given is
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the quot height quot of the triangle is the quot Apothem quot of the polygon Now the area of a triangle is half of the base times height so Area of one triangle base 215 height 2 side 215 apothem 2 To get the area of the whole polygon just add up the areas of all the little triangles quot n quot of them Area of Polygon n 215 side 215 apothem 2
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In geometry an apothem is a line segment that runs from the center of a regular polygon to the midpoint of one of its sides A regular polygon is a polygon whose sides are all the same length and whose angles are all the same size The word quot apothem quot can also refer to the length of that line segment
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Nov 21 2023 0183 32 An apothem is defined as the distance from the center of a regular polygon to the midpoint of its sides It is both a segment and a measure It is most used in the calculation of the area of
The apothems of a regular polygon are all equal They bisect the sides of the regular polygon Proof The apothems are all equal because they are the heights of the congruent isosceles triangles formed by the radii see Theorem PageIndex 2 Each apothem divides the isosceles triangle into two congruent right triangles Therefore each An apothem is a line segment that is drawn from the center of a regular polygon to the midpoint of one of its sides The area of a regular polygon can be calculated by multiplying the apothem by the perimeter and then dividing the result by two
Jan 19 2024 0183 32 The concept of apothem is integral to the study of regular polygons offering insights into their internal structure and facilitating calculations related to area perimeter and other geometric properties