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An apothem is a line segment from center point of side of a regular polygon to the midpoint of the regular polygon. One way to find the area of a regular hexagon is by first dividing it into equilateral triangles.

Area Of Regular Polygons Regular Polygon Teaching Geometry

For a polygon of n sides there are n possible apothems all the same length of course.

Area of a hexagon apothem. You also need to use an apothem a segment that joins a regular polygon s center to the midpoint of any side and that is perpendicular to that side. All of these triangles are 60 60 60 triangles which tells us and we ve proven this earlier on when we first started studying equilateral triangles we know that all of the angles of a triangle are 60 degrees then we re dealing with an equilateral triangle which means that all the sides have the same length. The irregular polygons does not contain apothem or center.

The word apothem can also refer to the length of that line segment. You usually need to know the length of the apothem when calculating the area of a hexagon. To find the area of a regular polygon you use an apothem a segment that joins the polygon s center to the midpoint of any side and that is perpendicular to that side segment hm in the following figure is an apothem.

1 x research source as long as you know the side length of the hexagon you can calculate the length of the apothem. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. So you can correctly say draw the apothem and the apothem is 4cm.

You use the following formula to find the area of a regular polygon. When the number of sides n is equal to 3 it is an equilateral triangle and when n 4 is is a square. A hexagon is a polygon that has six sides and angles.

The following formulas were used to develop calculations for this calculator where a side length r inradius apothem r circumradius a area p perimeter x interior angle y exterior angle and n number of sides. There are multiple ways to found the apothem of a regular polygon. So what s the area of the hexagon shown above.

There are a variety of ways to calculate the area of a hexagon whether you re working with an irregular hexagon or a regular hexagon. An apothem is a line segment from the center of a polygon to the middle point of any one side. You ll see what all this means when you solve the following problem.

The apothem is also the radius of the incircle of the polygon. The word apothem can refer to the line itself or the length of that line.