Problem:
A polygon with $6$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.531 & 0.503 \\
 -0.492 & 0.275 \\
 -0.344 & 0.456 \\
 0. & 0. \\
 0.192 & 0.057 \\
 0.2 & 0.113 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Angles: $\{1.15,2.25,2.34,2.01,1.98,2.83\}$ 
Type: Convex 
Perimeter: $1.89$ 
Area: $0.16$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/28901.txt'}