Area of a Regular Octagon. By Carson Dial. Now, for the basics. T his is a regular octagon, an 8-sided figure whose sides are congruent. The small lines on the edges indicate the congruency of said edges . Now, we can begin….
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By Carson Dial
This is a regular octagon, an 8-sided figure whose sides are congruent.
The small lines on the edges indicate the
congruency of said edges.
First, there is no way to find the area of an octagon by itself, you must divide the octagon into equilateral triangles, eight of them.
We need to find the area of a single equilateral triangle.
So we’ll say the length of
this triangle’s base is 5
We’ll need the height of this triangle,
so for convenience's sake, we’ll call it 6.5 units.
The equation looks something like this
Base times height divided by 2
So, we’ll substitute our numbers in…
= 32.5 / 2= 16.25
So, the area of this triangle is 16.25 units.
Now, we will multiply the area of the triangle by eight to find the area of the octagon.