Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.226 & 0.479 \\
 0.378 & 0.811 \\
 0.456 & 0.898 \\
 0.741 & 0.42 \\
 0.798 & 0.615 \\
 0.999 & 0.343 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.19$ 
Angles: $\{1.26,3.32,0.64,2.9,1.61,2.84\}$ 
Type: Simple 
Perimeter: $2.05$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/78550.txt'}