how do find the size of sides in an octogon, when nothing is given?
the size of the piece is 2.250x2.250.
There are eight vertices in an octagon, so there are eight internal
angles from the center to the vertices. Each angle is three hundred
sixty degrees divided by eight, or forty-five degrees. We can use
the tangent of half that angle to find the length of one half of a
side of the octagon (as shown in the figure). The base of the angle
is one half of the square that encloses the octagon.
x / 1.125 = tan 22.5
x / 1.125 = 0.414213
x = 0.414213 * 1.125
x = 0.46599
The length of the side is twice that.
s = 2 * x
s = 2 * 0.46599
s = 0.93198
