Problem:
A polygon with $8$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.739 & 0.28 \\
 -0.616 & 0.531 \\
 -0.484 & 0.725 \\
 -0.412 & 0.002 \\
 -0.323 & 0.763 \\
 -0.182 & 0.654 \\
 -0.041 & 0.444 \\
 0. & 0. \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.4$ 
Angles: $\{1.82,2.44,1.47,2.64,2.81,2.25,2.4,3.\}$ 
Area: $0.39$ 
Type: Convex
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/14357.txt'}