Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.033 & 0.863 \\
 0. & 0. \\
 0.073 & 0.039 \\
 0.154 & 0.109 \\
 0.255 & 0.249 \\
 0.316 & 0.341 \\
 0.459 & 0.559 \\
 0.582 & 0.753 \\
 0.616 & 0.944 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.35$ 
Angles: $\{1.66,1.12,2.92,2.91,3.11,3.13,3.12,2.76,1.27\}$ 
Perimeter: $2.68$ 
Type: Convex
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/21383.txt'}