What is the area of a hexagon with the side that are 1.8 m long?
1 Answer
The area of the hexagon is
Explanation:
The way to find the area of a hexagon is to divide it into six triangles, as shown by the diagram below.
Then, all we need to do is solve for the area of one of the triangles and multiply it by six.
Because it is a regular hexagon, all the triangles are congruent and equilateral. We know this because the central angle is
If the triangle is equilateral, each of its side lengths is the same. It is 1.8 meters long. The formula for the triangle's area is shown below.
This tells us that the formula for
Now, we use the triangle area formula.
Remember that the hexagon is made of six triangles. Its area is
The area of the hexagon is
If you are interested in a shortcut, you can use the following formula. The longer method above is just useful for understanding the idea behind the formula and how to derive it.