Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.467 & 0.355 \\
 -0.394 & 0.596 \\
 -0.069 & 0.868 \\
 0. & 0. \\
 0.031 & 0.15 \\
 0.062 & 0.548 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Area: $0.27$ 
Perimeter: $2.16$ 
Type: Convex 
Angles: $\{1.93,1.12,3.02,2.67,1.26,2.56\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/93547.txt'}