Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 0.092 & 0.827 \\
 0.136 & 0.896 \\
 0.547 & 0.923 \\
 0.547 & 0.233 \\
 0.74 & 0.565 \\
 0.968 & 0.095 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Angles: $\{1.92,2.54,0.8,3.1,2.,2.2\}$ 
Perimeter: $2.61$ 
Area: $0.32$ 
Type: Simple
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/57372.txt'}