How To Find The Area Of A Polygon
How To Find The Area Of A Polygon - The most popular and usually the most useful formula is the one that uses the number of sides n n and the side length a a A n times a 2 times frac 1 4 cot left frac pi n right A n a2 41 cot n However given other parameters you can also find out the area To find the area of a regular polygon all you have to do is follow this simple formula area 1 2 x perimeter x apothem 1 Here is what it means Perimeter the sum of the lengths of all the sides 2 Apothem a segment that joins the polygon s center to the midpoint of any side that is perpendicular to that side 3 2 For finding the area of a polygon which is not regular or its formula is not defined we split the figure into triangles squares trapezium etc The purpose is to visualize the given geometry as a combination of geometries for which we know how to calculate the area
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How To Find The Area Of A Polygon
Area Of A Pentagon Formula With Apothem Updated Learning How To Find Area Of Hexagon With
Area Of A Pentagon Formula With Apothem Updated Learning How To Find Area Of Hexagon With
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11 Wiki How To
11 wiki how to
Area 5 2 side length length of the apothem OR Area dfrac 1 4 sqrt 5 5 2 5 side 2 Regular Hexagon Area 3 3 length of a side 2 2 In order to determine the area of a regular polygon if the number of its sides are known is given by
To find the area of regular polygons use the formula area ap 2 where a is the apothem and p is the perimeter To find the apothem divide the length of one side by 2 times the tangent of 180 degrees divided by the number of sides
Area Of Quadrilaterals Worksheet Db excel
Area of quadrilaterals worksheet db excel
Ssurvivor Area Of A Pentagon Formula With Apothem
Ssurvivor area of a pentagon formula with apothem
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1 Given the length of a side By definition all sides of a regular polygon are equal in length If you know the length of one of the sides the area is given by the formula area s 2 n 4 tan 180 n where s is the length of any side n is the number of sides tan is the tangent function calculated in degrees see Trigonometry Overview
The area of a polygon given the coordinates of its vertices is given by the formula A frac 1 2 begin vmatrix x 1 x 2 x 3 x n x 1 y 1 y 2 y 3 y n y 1 end vmatrix A 21 x1 y1 x2 y2 x3 y3 xn yn x1 y1