Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.105 & 0.46 \\
 0.116 & 0.778 \\
 0.502 & 0.32 \\
 0.52 & 0.407 \\
 0.58 & 0.235 \\
 0.67 & 0.369 \\
 0.757 & 0.571 \\
 0.846 & 0.732 \\
 0.926 & 0.095 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Angles: $\{1.98,3.08,0.43,2.04,5.2,3.9,2.68,1.13,1.54\}$ 
Area: $0.27$ 
Type: Simple 
Perimeter: $3.06$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/30337.txt'}