Problem:
A polygon with $8$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.506 & 0.158 \\
 -0.461 & 0.256 \\
 -0.121 & 0.667 \\
 -0.09 & 0.017 \\
 -0.043 & 0.687 \\
 0. & 0. \\
 0.072 & 0.342 \\
 0.111 & 0.649 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.07$ 
Area: $0.25$ 
Type: Convex 
Angles: $\{1.47,3.,1.6,3.06,1.69,2.65,2.51,2.88\}$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/67641.txt'}