Question 1077071

The length of a piece of wire is 8 inches. It is then formed into a regular hexadecagon (polygon of 16 sides). What is the area of the polygon?
<pre>Apothem = {{{matrix(1,2, .25/tan (11.25), inches)}}}
Area of one of the hexadecagon's triangles = {{{matrix(1,3, .5(.5)(.25/tan (11.25)), sq, inches)}}}
Area of hexadecagon: {{{highlight_green(matrix(1,5, 16(.5)(.5)(.25/tan (11.25)), "=", 5.027339, sq, inches))}}}