Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.219 & 0.981 \\
 0.424 & 0.581 \\
 0.568 & 0.532 \\
 0.614 & 0.099 \\
 0.775 & 0.266 \\
 0.782 & 0.496 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Angles: $\{0.39,0.54,5.54,1.72,1.14,3.24\}$ 
Type: Simple 
Perimeter: $2.5$ 
Area: $0.13$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/17009.txt'}