# What is the area of this regular hexagon?

Area =

We will Use the area of the hexagon formula

Now what is is an apothem;

The apothem (sometimes abbreviated as apo) 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.

Apothem

Now for a regular polygon of n sides the perimeter is

Finally lets plug in ;

Area =

Additionally there are multiple ways to find area of a hexagon

1)Use formula ; If you know a side of a regular hexagon you can use this;

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The area is approximately

As this hexagon is regular, you can divide it into

Please note that all those triangles are isosceles. All angles of the hexagon are

As you see in the picture, each of those 6 "big" triangles can be divided into two small triangles with the angles

To compute the area of the small right angle triangle, you need just the length of

This you can do with

This means that the area of the small right angle triangle is

There are

Hope that this helped!

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