Problem:
A polygon with $9$ vertices has the coordinates $\left(
\begin{array}{cc}
 -0.167 & 0.468 \\
 -0.141 & 0.729 \\
 -0.137 & 0.207 \\
 -0.089 & 0.036 \\
 0. & 0. \\
 0.184 & 0.71 \\
 0.318 & 0.645 \\
 0.726 & 0.167 \\
 0.731 & 0.038 \\
\end{array}
\right)$. Estimate the polygon's interior angles (in radians), area, and perimeter. Also, classify the polygon as 'Simple' or 'Convex'.
Answer:
Perimeter: $2.76$ 
Angles: $\{2.93,2.98,2.23,2.71,1.59,2.47,2.73,2.75,1.61\}$ 
Type: Convex 
Area: $0.48$
{'source': 'AMPS', 'file': 'amps/mathematica/geometry/polygons/27130.txt'}